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Week 8 Mathematics 2 Questions | Prasnya
Mathematics 2 > Week 8
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Type:
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43Q
01
Find the dimension of
W
⊥
W^\perp
W
⊥
.
Comprehension
EASY
3 marks
06 April 2026
02
Which of the following sets form an orthonormal basis for
W
W
W
? Choose all correct options.
Comprehension
EASY
3 marks
06 April 2026
03
Suppose
P
W
:
R
3
→
R
3
P_W:\mathbb{R}^3\to\mathbb{R}^3
P
W
:
R
3
→
R
3
represents the projection transformation onto
W
W
W
. If
P
W
(
1
,
1
,
2
)
=
(
a
,
b
,
c
)
P_W(1,1,2)=(a,b,c)
P
W
(
1
,
1
,
2
)
=
(
a
,
b
,
c
)
, find
a
+
b
+
c
a+b+c
a
+
b
+
c
.
Numerical
EASY
3 marks
06 April 2026
04
Consider the given table of sets of vectors and their properties. Choose the correct option which matches each set of vectors with the appropriate property.
Single correct
MEDIUM
4 marks
03 August 2025
05
Consider
W
=
{
(
x
,
y
)
∈
R
2
:
x
+
y
=
0
}
W=\{(x,y)\in\mathbb{R}^2:x+y=0\}
W
=
{(
x
,
y
)
∈
R
2
:
x
+
y
=
0
}
as a subspace of
R
2
\mathbb{R}^2
R
2
with the usual inner product. Let
(
α
,
β
)
(\alpha,\beta)
(
α
,
β
)
be the projection of the vector
(
4
,
−
2
)
(4,-2)
(
4
,
−
2
)
on
W
W
W
. Find
α
−
β
\alpha-\beta
α
−
β
.
Numerical
MEDIUM
3 marks
03 August 2025
06
Consider
R
2
\mathbb{R}^2
R
2
with the usual inner product. Let
T
:
R
2
→
R
2
T:\mathbb{R}^2\to\mathbb{R}^2
T
:
R
2
→
R
2
be an orthogonal transformation given by
T
(
x
,
y
)
=
(
a
x
+
b
y
,
c
x
+
d
y
)
T(x,y)=(ax+by,\ cx+dy)
T
(
x
,
y
)
=
(
a
x
+
b
y
,
c
x
+
d
y
)
for all
x
,
y
∈
R
x,y\in\mathbb{R}
x
,
y
∈
R
, and let
A
A
A
be the matrix representation of
T
T
T
with respect to the standard ordered basis. If
a
=
1
a=1
a
=
1
and
det
(
A
)
<
0
\det(A)<0
det
(
A
)
<
0
, find
b
+
c
+
d
b+c+d
b
+
c
+
d
.
Numerical
MEDIUM
5 marks
03 August 2025
07
Let
A
=
[
2
7
6
7
3
7
3
7
2
7
−
6
7
6
7
−
3
7
2
7
]
.
A=\begin{bmatrix}\frac{2}{7}&\frac{6}{7}&\frac{3}{7}\\\frac{3}{7}&\frac{2}{7}&-\frac{6}{7}\\\frac{6}{7}&-\frac{3}{7}&\frac{2}{7}\end{bmatrix}.
A
=
7
2
7
3
7
6
7
6
7
2
−
7
3
7
3
−
7
6
7
2
.
Choose the correct option for
A
−
1
A^{-1}
A
−
1
.
Single correct
MEDIUM
2 marks
16 March 2025
08
Find
∥
T
(
4
,
0
,
−
3
)
∥
\|T(4,0,-3)\|
∥
T
(
4
,
0
,
−
3
)
∥
.
Comprehension
EASY
2 marks
16 March 2025
09
Suppose
Q
Q
Q
is the matrix representation of
T
T
T
with respect to some ordered basis. Find
det
(
Q
T
Q
)
\det(Q^TQ)
det
(
Q
T
Q
)
.
Comprehension
EASY
2 marks
16 March 2025
10
Find the angle between
T
(
1
,
1
,
1
)
T(1,1,1)
T
(
1
,
1
,
1
)
and
T
(
1
,
−
2
,
1
)
T(1,-2,1)
T
(
1
,
−
2
,
1
)
.
Comprehension
EASY
2 marks
16 March 2025
11
If
(
a
,
b
,
c
)
(a,b,c)
(
a
,
b
,
c
)
is the projection of
u
2
u_2
u
2
on
u
1
u_1
u
1
, find
a
+
b
+
c
a+b+c
a
+
b
+
c
.
Comprehension
EASY
2 marks
16 March 2025
12
Let
{
v
1
,
v
2
}
\{v_1,v_2\}
{
v
1
,
v
2
}
be the orthonormal set of vectors obtained from
{
u
1
,
u
2
}
\{u_1,u_2\}
{
u
1
,
u
2
}
by applying the Gram-Schmidt process. Choose the correct option.
Comprehension
MEDIUM
2 marks
16 March 2025
13
Let
(
a
,
b
,
c
)
(a,b,c)
(
a
,
b
,
c
)
be the vector obtained by projecting the vector
(
1
,
2
,
3
)
(1,2,3)
(
1
,
2
,
3
)
on
W
W
W
. Find
a
+
b
+
c
a+b+c
a
+
b
+
c
.
Comprehension
MEDIUM
2 marks
16 March 2025
14
Find the number of values of
k
k
k
for which
u
3
u_3
u
3
is a unit vector.
Comprehension
EASY
1 marks
01 December 2024
15
Find the value of
k
k
k
for which
{
u
1
,
u
2
,
u
3
}
\{u_1,u_2,u_3\}
{
u
1
,
u
2
,
u
3
}
is an orthonormal basis of
R
3
\mathbb{R}^3
R
3
.
Comprehension
MEDIUM
1 marks
01 December 2024
16
Let
W
=
span
{
w
1
,
w
2
}
W=\operatorname{span}\{w_1,w_2\}
W
=
span
{
w
1
,
w
2
}
where
w
1
=
(
1
,
1
,
0
)
w_1=(1,1,0)
w
1
=
(
1
,
1
,
0
)
and
w
2
=
(
0
,
0
,
1
)
w_2=(0,0,1)
w
2
=
(
0
,
0
,
1
)
. Let
R
W
:
R
3
→
R
3
R_W:\mathbb{R}^3\to\mathbb{R}^3
R
W
:
R
3
→
R
3
map every vector to its projection onto
W
W
W
with respect to the standard inner product. Choose all correct statements.
Multiple correct
MEDIUM
3 marks
01 December 2024
17
Find
a
a
a
.
Comprehension
EASY
0.5 marks
04 August 2024
18
Find
b
b
b
.
Comprehension
EASY
0.5 marks
04 August 2024
19
Find
c
c
c
.
Comprehension
EASY
0.5 marks
04 August 2024
20
If
dim
(
W
)
=
p
\dim(W)=p
dim
(
W
)
=
p
and
dim
(
W
⊥
)
=
q
\dim(W^\perp)=q
dim
(
W
⊥
)
=
q
, find
p
2
+
q
2
p^2+q^2
p
2
+
q
2
.
Comprehension
EASY
0.5 marks
04 August 2024
21
Find
a
a
a
.
Comprehension
EASY
0.5 marks
04 August 2024
22
Find
b
b
b
.
Comprehension
MEDIUM
0.5 marks
04 August 2024
23
Find
c
c
c
.
Comprehension
MEDIUM
0.5 marks
04 August 2024
24
If
A
T
A
+
A
A
T
=
k
I
A^T A + A A^T = kI
A
T
A
+
A
A
T
=
k
I
, where
k
k
k
is a scalar and
I
I
I
is the identity matrix, find
k
k
k
.
Comprehension
EASY
0.5 marks
04 August 2024
25
What is
rank
(
R
W
)
\operatorname{rank}(R_W)
rank
(
R
W
)
?
Comprehension
EASY
1 marks
24 March 2024
26
What is the nullity of
R
W
R_W
R
W
?
Comprehension
EASY
1 marks
24 March 2024
27
What is
dim
(
W
⊥
)
\dim(W^\perp)
dim
(
W
⊥
)
?
Comprehension
EASY
1 marks
24 March 2024
28
Choose the correct options from the following.
Multiple correct
MEDIUM
4 marks
24 March 2024
29
Let
A
A
A
be an
n
×
n
n\times n
n
×
n
orthogonal matrix. Which statements are true?
Multiple correct
MEDIUM
3 marks
03 December 2023
30
If
γ
\gamma
γ
is the orthonormal basis of
W
W
W
obtained from
β
\beta
β
by Gram-Schmidt and
(
a
,
b
,
c
)
(a,b,c)
(
a
,
b
,
c
)
is the projection of
(
1
,
3
,
1
)
(1,3,1)
(
1
,
3
,
1
)
onto
W
W
W
, find
a
+
b
+
c
a+b+c
a
+
b
+
c
.
Comprehension
MEDIUM
3 marks
03 December 2023
31
Let
A
A
A
be a
3
×
3
3\times3
3
×
3
rotation matrix. Choose the correct options.
Multiple correct
EASY
2 marks
06 August 2023
32
Let
P
W
:
R
4
→
W
P_W:\mathbb{R}^4\to W
P
W
:
R
4
→
W
denote the projection map. What is the nullity of
P
W
P_W
P
W
?
Comprehension
EASY
1 marks
06 August 2023
33
If
P
W
(
0
,
1
,
0
,
1
)
=
(
a
,
b
,
c
,
d
)
P_W(0,1,0,1)=(a,b,c,d)
P
W
(
0
,
1
,
0
,
1
)
=
(
a
,
b
,
c
,
d
)
, what is
3
(
a
+
b
+
c
+
d
)
3(a+b+c+d)
3
(
a
+
b
+
c
+
d
)
?
Comprehension
HARD
3 marks
06 August 2023
34
Let
A
A
A
be an
n
×
n
n\times n
n
×
n
orthogonal matrix. Choose the correct options.
Multiple correct
EASY
2 marks
02 April 2023
35
If
{
w
1
/
∥
w
1
∥
,
w
2
/
∥
w
2
∥
}
\{w_1/\|w_1\|,w_2/\|w_2\|\}
{
w
1
/∥
w
1
∥
,
w
2
/∥
w
2
∥
}
denotes the orthonormal basis of
W
W
W
obtained by applying Gram-Schmidt on
β
\beta
β
, what is
2
∥
w
2
∥
2
2\|w_2\|^2
2∥
w
2
∥
2
?
Comprehension
MEDIUM
2 marks
02 April 2023
36
Let
P
W
P_W
P
W
denote the projection of
R
3
\mathbb{R}^3
R
3
onto
W
W
W
. If
P
W
(
1
,
0
,
1
)
=
(
a
,
b
,
c
)
P_W(1,0,1)=(a,b,c)
P
W
(
1
,
0
,
1
)
=
(
a
,
b
,
c
)
, what is
a
+
b
+
c
a+b+c
a
+
b
+
c
?
Comprehension
MEDIUM
2 marks
02 April 2023
37
If
v
∈
V
v\in V
v
∈
V
has norm
5
5
5
, what is the maximum possible norm of
P
W
(
v
)
P_W(v)
P
W
(
v
)
?
Comprehension
EASY
1 marks
20 November 2022
38
Which of the following options are true?
Comprehension
MEDIUM
2 marks
20 November 2022
39
Choose the correct options.
Multiple correct
MEDIUM
2 marks
10 July 2022
40
Let
β
=
{
v
1
,
v
2
}
\beta=\{v_1,v_2\}
β
=
{
v
1
,
v
2
}
be the orthonormal basis of the row space obtained by Gram-Schmidt from the first row and second row of
A
A
A
. Let
u
1
u_1
u
1
be the first orthogonal vector. What is
∥
u
1
∥
2
\|u_1\|^2
∥
u
1
∥
2
?
Comprehension
MEDIUM
1 marks
10 July 2022
41
For the same Gram-Schmidt process, if
v
2
=
1
195
(
b
,
c
,
d
)
v_2=\frac{1}{\sqrt{195}}(b,c,d)
v
2
=
195
1
(
b
,
c
,
d
)
, what is
b
b
b
?
Comprehension
HARD
1 marks
10 July 2022
42
For the same Gram-Schmidt process, if
v
2
=
1
195
(
b
,
c
,
d
)
v_2=\frac{1}{\sqrt{195}}(b,c,d)
v
2
=
195
1
(
b
,
c
,
d
)
, what is
c
c
c
?
Comprehension
HARD
1 marks
10 July 2022
43
For the same Gram-Schmidt process, if
v
2
=
1
195
(
b
,
c
,
d
)
v_2=\frac{1}{\sqrt{195}}(b,c,d)
v
2
=
195
1
(
b
,
c
,
d
)
, what is
d
d
d
?
Comprehension
HARD
1 marks
10 July 2022
Showing 43 questions.
Mathematics 2 > Week 8
All PYQs
Topic-Wise PYQs
Start Weekly Test
Mock tests
Week mock
Topic mock
Subject mock
Type:
All
Difficulty:
All
Year:
All
43Q
01
Find the dimension of
W
⊥
W^\perp
W
⊥
.
Comprehension
EASY
3 marks
06 April 2026
02
Which of the following sets form an orthonormal basis for
W
W
W
? Choose all correct options.
Comprehension
EASY
3 marks
06 April 2026
03
Suppose
P
W
:
R
3
→
R
3
P_W:\mathbb{R}^3\to\mathbb{R}^3
P
W
:
R
3
→
R
3
represents the projection transformation onto
W
W
W
. If
P
W
(
1
,
1
,
2
)
=
(
a
,
b
,
c
)
P_W(1,1,2)=(a,b,c)
P
W
(
1
,
1
,
2
)
=
(
a
,
b
,
c
)
, find
a
+
b
+
c
a+b+c
a
+
b
+
c
.
Numerical
EASY
3 marks
06 April 2026
04
Consider the given table of sets of vectors and their properties. Choose the correct option which matches each set of vectors with the appropriate property.
Single correct
MEDIUM
4 marks
03 August 2025
05
Consider
W
=
{
(
x
,
y
)
∈
R
2
:
x
+
y
=
0
}
W=\{(x,y)\in\mathbb{R}^2:x+y=0\}
W
=
{(
x
,
y
)
∈
R
2
:
x
+
y
=
0
}
as a subspace of
R
2
\mathbb{R}^2
R
2
with the usual inner product. Let
(
α
,
β
)
(\alpha,\beta)
(
α
,
β
)
be the projection of the vector
(
4
,
−
2
)
(4,-2)
(
4
,
−
2
)
on
W
W
W
. Find
α
−
β
\alpha-\beta
α
−
β
.
Numerical
MEDIUM
3 marks
03 August 2025
06
Consider
R
2
\mathbb{R}^2
R
2
with the usual inner product. Let
T
:
R
2
→
R
2
T:\mathbb{R}^2\to\mathbb{R}^2
T
:
R
2
→
R
2
be an orthogonal transformation given by
T
(
x
,
y
)
=
(
a
x
+
b
y
,
c
x
+
d
y
)
T(x,y)=(ax+by,\ cx+dy)
T
(
x
,
y
)
=
(
a
x
+
b
y
,
c
x
+
d
y
)
for all
x
,
y
∈
R
x,y\in\mathbb{R}
x
,
y
∈
R
, and let
A
A
A
be the matrix representation of
T
T
T
with respect to the standard ordered basis. If
a
=
1
a=1
a
=
1
and
det
(
A
)
<
0
\det(A)<0
det
(
A
)
<
0
, find
b
+
c
+
d
b+c+d
b
+
c
+
d
.
Numerical
MEDIUM
5 marks
03 August 2025
07
Let
A
=
[
2
7
6
7
3
7
3
7
2
7
−
6
7
6
7
−
3
7
2
7
]
.
A=\begin{bmatrix}\frac{2}{7}&\frac{6}{7}&\frac{3}{7}\\\frac{3}{7}&\frac{2}{7}&-\frac{6}{7}\\\frac{6}{7}&-\frac{3}{7}&\frac{2}{7}\end{bmatrix}.
A
=
7
2
7
3
7
6
7
6
7
2
−
7
3
7
3
−
7
6
7
2
.
Choose the correct option for
A
−
1
A^{-1}
A
−
1
.
Single correct
MEDIUM
2 marks
16 March 2025
08
Find
∥
T
(
4
,
0
,
−
3
)
∥
\|T(4,0,-3)\|
∥
T
(
4
,
0
,
−
3
)
∥
.
Comprehension
EASY
2 marks
16 March 2025
09
Suppose
Q
Q
Q
is the matrix representation of
T
T
T
with respect to some ordered basis. Find
det
(
Q
T
Q
)
\det(Q^TQ)
det
(
Q
T
Q
)
.
Comprehension
EASY
2 marks
16 March 2025
10
Find the angle between
T
(
1
,
1
,
1
)
T(1,1,1)
T
(
1
,
1
,
1
)
and
T
(
1
,
−
2
,
1
)
T(1,-2,1)
T
(
1
,
−
2
,
1
)
.
Comprehension
EASY
2 marks
16 March 2025
11
If
(
a
,
b
,
c
)
(a,b,c)
(
a
,
b
,
c
)
is the projection of
u
2
u_2
u
2
on
u
1
u_1
u
1
, find
a
+
b
+
c
a+b+c
a
+
b
+
c
.
Comprehension
EASY
2 marks
16 March 2025
12
Let
{
v
1
,
v
2
}
\{v_1,v_2\}
{
v
1
,
v
2
}
be the orthonormal set of vectors obtained from
{
u
1
,
u
2
}
\{u_1,u_2\}
{
u
1
,
u
2
}
by applying the Gram-Schmidt process. Choose the correct option.
Comprehension
MEDIUM
2 marks
16 March 2025
13
Let
(
a
,
b
,
c
)
(a,b,c)
(
a
,
b
,
c
)
be the vector obtained by projecting the vector
(
1
,
2
,
3
)
(1,2,3)
(
1
,
2
,
3
)
on
W
W
W
. Find
a
+
b
+
c
a+b+c
a
+
b
+
c
.
Comprehension
MEDIUM
2 marks
16 March 2025
14
Find the number of values of
k
k
k
for which
u
3
u_3
u
3
is a unit vector.
Comprehension
EASY
1 marks
01 December 2024
15
Find the value of
k
k
k
for which
{
u
1
,
u
2
,
u
3
}
\{u_1,u_2,u_3\}
{
u
1
,
u
2
,
u
3
}
is an orthonormal basis of
R
3
\mathbb{R}^3
R
3
.
Comprehension
MEDIUM
1 marks
01 December 2024
16
Let
W
=
span
{
w
1
,
w
2
}
W=\operatorname{span}\{w_1,w_2\}
W
=
span
{
w
1
,
w
2
}
where
w
1
=
(
1
,
1
,
0
)
w_1=(1,1,0)
w
1
=
(
1
,
1
,
0
)
and
w
2
=
(
0
,
0
,
1
)
w_2=(0,0,1)
w
2
=
(
0
,
0
,
1
)
. Let
R
W
:
R
3
→
R
3
R_W:\mathbb{R}^3\to\mathbb{R}^3
R
W
:
R
3
→
R
3
map every vector to its projection onto
W
W
W
with respect to the standard inner product. Choose all correct statements.
Multiple correct
MEDIUM
3 marks
01 December 2024
17
Find
a
a
a
.
Comprehension
EASY
0.5 marks
04 August 2024
18
Find
b
b
b
.
Comprehension
EASY
0.5 marks
04 August 2024
19
Find
c
c
c
.
Comprehension
EASY
0.5 marks
04 August 2024
20
If
dim
(
W
)
=
p
\dim(W)=p
dim
(
W
)
=
p
and
dim
(
W
⊥
)
=
q
\dim(W^\perp)=q
dim
(
W
⊥
)
=
q
, find
p
2
+
q
2
p^2+q^2
p
2
+
q
2
.
Comprehension
EASY
0.5 marks
04 August 2024
21
Find
a
a
a
.
Comprehension
EASY
0.5 marks
04 August 2024
22
Find
b
b
b
.
Comprehension
MEDIUM
0.5 marks
04 August 2024
23
Find
c
c
c
.
Comprehension
MEDIUM
0.5 marks
04 August 2024
24
If
A
T
A
+
A
A
T
=
k
I
A^T A + A A^T = kI
A
T
A
+
A
A
T
=
k
I
, where
k
k
k
is a scalar and
I
I
I
is the identity matrix, find
k
k
k
.
Comprehension
EASY
0.5 marks
04 August 2024
25
What is
rank
(
R
W
)
\operatorname{rank}(R_W)
rank
(
R
W
)
?
Comprehension
EASY
1 marks
24 March 2024
26
What is the nullity of
R
W
R_W
R
W
?
Comprehension
EASY
1 marks
24 March 2024
27
What is
dim
(
W
⊥
)
\dim(W^\perp)
dim
(
W
⊥
)
?
Comprehension
EASY
1 marks
24 March 2024
28
Choose the correct options from the following.
Multiple correct
MEDIUM
4 marks
24 March 2024
29
Let
A
A
A
be an
n
×
n
n\times n
n
×
n
orthogonal matrix. Which statements are true?
Multiple correct
MEDIUM
3 marks
03 December 2023
30
If
γ
\gamma
γ
is the orthonormal basis of
W
W
W
obtained from
β
\beta
β
by Gram-Schmidt and
(
a
,
b
,
c
)
(a,b,c)
(
a
,
b
,
c
)
is the projection of
(
1
,
3
,
1
)
(1,3,1)
(
1
,
3
,
1
)
onto
W
W
W
, find
a
+
b
+
c
a+b+c
a
+
b
+
c
.
Comprehension
MEDIUM
3 marks
03 December 2023
31
Let
A
A
A
be a
3
×
3
3\times3
3
×
3
rotation matrix. Choose the correct options.
Multiple correct
EASY
2 marks
06 August 2023
32
Let
P
W
:
R
4
→
W
P_W:\mathbb{R}^4\to W
P
W
:
R
4
→
W
denote the projection map. What is the nullity of
P
W
P_W
P
W
?
Comprehension
EASY
1 marks
06 August 2023
33
If
P
W
(
0
,
1
,
0
,
1
)
=
(
a
,
b
,
c
,
d
)
P_W(0,1,0,1)=(a,b,c,d)
P
W
(
0
,
1
,
0
,
1
)
=
(
a
,
b
,
c
,
d
)
, what is
3
(
a
+
b
+
c
+
d
)
3(a+b+c+d)
3
(
a
+
b
+
c
+
d
)
?
Comprehension
HARD
3 marks
06 August 2023
34
Let
A
A
A
be an
n
×
n
n\times n
n
×
n
orthogonal matrix. Choose the correct options.
Multiple correct
EASY
2 marks
02 April 2023
35
If
{
w
1
/
∥
w
1
∥
,
w
2
/
∥
w
2
∥
}
\{w_1/\|w_1\|,w_2/\|w_2\|\}
{
w
1
/∥
w
1
∥
,
w
2
/∥
w
2
∥
}
denotes the orthonormal basis of
W
W
W
obtained by applying Gram-Schmidt on
β
\beta
β
, what is
2
∥
w
2
∥
2
2\|w_2\|^2
2∥
w
2
∥
2
?
Comprehension
MEDIUM
2 marks
02 April 2023
36
Let
P
W
P_W
P
W
denote the projection of
R
3
\mathbb{R}^3
R
3
onto
W
W
W
. If
P
W
(
1
,
0
,
1
)
=
(
a
,
b
,
c
)
P_W(1,0,1)=(a,b,c)
P
W
(
1
,
0
,
1
)
=
(
a
,
b
,
c
)
, what is
a
+
b
+
c
a+b+c
a
+
b
+
c
?
Comprehension
MEDIUM
2 marks
02 April 2023
37
If
v
∈
V
v\in V
v
∈
V
has norm
5
5
5
, what is the maximum possible norm of
P
W
(
v
)
P_W(v)
P
W
(
v
)
?
Comprehension
EASY
1 marks
20 November 2022
38
Which of the following options are true?
Comprehension
MEDIUM
2 marks
20 November 2022
39
Choose the correct options.
Multiple correct
MEDIUM
2 marks
10 July 2022
40
Let
β
=
{
v
1
,
v
2
}
\beta=\{v_1,v_2\}
β
=
{
v
1
,
v
2
}
be the orthonormal basis of the row space obtained by Gram-Schmidt from the first row and second row of
A
A
A
. Let
u
1
u_1
u
1
be the first orthogonal vector. What is
∥
u
1
∥
2
\|u_1\|^2
∥
u
1
∥
2
?
Comprehension
MEDIUM
1 marks
10 July 2022
41
For the same Gram-Schmidt process, if
v
2
=
1
195
(
b
,
c
,
d
)
v_2=\frac{1}{\sqrt{195}}(b,c,d)
v
2
=
195
1
(
b
,
c
,
d
)
, what is
b
b
b
?
Comprehension
HARD
1 marks
10 July 2022
42
For the same Gram-Schmidt process, if
v
2
=
1
195
(
b
,
c
,
d
)
v_2=\frac{1}{\sqrt{195}}(b,c,d)
v
2
=
195
1
(
b
,
c
,
d
)
, what is
c
c
c
?
Comprehension
HARD
1 marks
10 July 2022
43
For the same Gram-Schmidt process, if
v
2
=
1
195
(
b
,
c
,
d
)
v_2=\frac{1}{\sqrt{195}}(b,c,d)
v
2
=
195
1
(
b
,
c
,
d
)
, what is
d
d
d
?
Comprehension
HARD
1 marks
10 July 2022
Showing 43 questions.
