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Question 12 - Week 8 Practice | Prasnya
Q12
00:00
16 Mar 2025
Q12.
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.
@passage
A
v
1
=
1
2
(
1
,
0
,
1
)
,
v
2
=
1
3
(
−
1
,
1
,
1
)
v_1=\frac{1}{\sqrt2}(1,0,1),\ v_2=\frac{1}{\sqrt3}(-1,1,1)
v
1
=
2
1
(
1
,
0
,
1
)
,
v
2
=
3
1
(
−
1
,
1
,
1
)
B
v
1
=
1
2
(
1
,
0
,
1
)
,
v
2
=
(
0
,
1
,
0
)
v_1=\frac{1}{\sqrt2}(1,0,1),\ v_2=(0,1,0)
v
1
=
2
1
(
1
,
0
,
1
)
,
v
2
=
(
0
,
1
,
0
)
C
v
1
=
1
2
(
1
,
0
,
1
)
,
v
2
=
1
2
(
−
1
,
0
,
1
)
v_1=\frac{1}{\sqrt2}(1,0,1),\ v_2=\frac{1}{\sqrt2}(-1,0,1)
v
1
=
2
1
(
1
,
0
,
1
)
,
v
2
=
2
1
(
−
1
,
0
,
1
)
D
v
1
=
1
2
(
1
,
0
,
1
)
,
v
2
=
1
2
(
1
,
0
,
−
1
)
v_1=\frac{1}{\sqrt2}(1,0,1),\ v_2=\frac{1}{\sqrt2}(1,0,-1)
v
1
=
2
1
(
1
,
0
,
1
)
,
v
2
=
2
1
(
1
,
0
,
−
1
)
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Q12
00:00
16 Mar 2025
Q12.
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.
@passage
A
v
1
=
1
2
(
1
,
0
,
1
)
,
v
2
=
1
3
(
−
1
,
1
,
1
)
v_1=\frac{1}{\sqrt2}(1,0,1),\ v_2=\frac{1}{\sqrt3}(-1,1,1)
v
1
=
2
1
(
1
,
0
,
1
)
,
v
2
=
3
1
(
−
1
,
1
,
1
)
B
v
1
=
1
2
(
1
,
0
,
1
)
,
v
2
=
(
0
,
1
,
0
)
v_1=\frac{1}{\sqrt2}(1,0,1),\ v_2=(0,1,0)
v
1
=
2
1
(
1
,
0
,
1
)
,
v
2
=
(
0
,
1
,
0
)
C
v
1
=
1
2
(
1
,
0
,
1
)
,
v
2
=
1
2
(
−
1
,
0
,
1
)
v_1=\frac{1}{\sqrt2}(1,0,1),\ v_2=\frac{1}{\sqrt2}(-1,0,1)
v
1
=
2
1
(
1
,
0
,
1
)
,
v
2
=
2
1
(
−
1
,
0
,
1
)
D
v
1
=
1
2
(
1
,
0
,
1
)
,
v
2
=
1
2
(
1
,
0
,
−
1
)
v_1=\frac{1}{\sqrt2}(1,0,1),\ v_2=\frac{1}{\sqrt2}(1,0,-1)
v
1
=
2
1
(
1
,
0
,
1
)
,
v
2
=
2
1
(
1
,
0
,
−
1
)
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Read
Check
Details
