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IITM BS Week 2 Mathematics 2 Questions | Prasnya
Mathematics 2 > Week 2
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9Q
01
Let
W
1
W_1
W
1
and
W
2
W_2
W
2
be two subspaces of a vector space
V
V
V
. Which of the following statements is always true?
Multiple correct
MEDIUM
3 marks
13 April 2025
02
Find the value of k for which the system Ax = 0 has infinitely many solutions.
Comprehension
EASY
1.5 marks
22 December 2024
03
If k = 1 and b = [0, 2,
α
\alpha
α
]^T, then which of the following options is true?
Comprehension
MEDIUM
1.5 marks
22 December 2024
04
Find the determinant of B.
Comprehension
EASY
1 marks
22 December 2024
05
Consider the matrix A =
[
a
b
b
a
a
b
a
a
a
]
\begin{bmatrix} a & b & b \\ a & a & b \\ a & a & a \end{bmatrix}
a
a
a
b
a
a
b
b
a
. If A is invertible, which of the following conditions must be satisfied? Select all conditions that apply.
Multiple correct
MEDIUM
3 marks
28 April 2024
06
Which of the following statement(s) is/are true for a system of linear equations Ax = b?
Multiple correct
MEDIUM
2 marks
03 September 2023
07
An invertible matrix of order 3 has . (Enter 2 best possible options. Enter only the serial numbers of those options in increasing order without adding any comma or space in between them.)
Comprehension
EASY
2 marks
30 April 2023
08
Which of the following denotes the solution space of this system of linear equations?
Comprehension
MEDIUM
3 marks
30 April 2023
09
What is v_2 + 2z_3, where z = (v_1, v_2, v_3)^T is the solution of Bz = (1, -2, 1)^T obtained using the Cramer's rule?
Comprehension
HARD
2 marks
07 August 2022
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Complete question index for this section:
Question 1 (multiple):
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Question 5 (multiple):
Question 6 (multiple):
Question 7 (comprehension):
Question 8 (comprehension):
Question 9 (comprehension):
