CUET-PG SERIES Mathematics
Matrix
15 previous year questions.
Volume: 15 Ques
Yield: Medium
High-Yield Trend
15
2023 Chapter Questions 15 MCQs
01
PYQ 2023
medium
mathematics ID: cuet-pg-
If X=[aij], i≥1, j≤n, with aij=i·j
Then number of linearly independent Rows are:
Then number of linearly independent Rows are:
1
0
2
1
3
n
4
n-1
02
PYQ 2023
medium
mathematics ID: cuet-pg-
Which of the following is not correct?
(A) If A, B are two matrices such that AB = A and BA=B, then A and B are idempotent.
(B) Every skew - symmetric matrix of odd order is invertible.
(C) If A is a non-singular matrix, then A-1 is skew-symmetric.
(D) The adjoint of a diagonal matrix is a diagonal matrix.
Choose the correct answer from the options given below :
(A) If A, B are two matrices such that AB = A and BA=B, then A and B are idempotent.
(B) Every skew - symmetric matrix of odd order is invertible.
(C) If A is a non-singular matrix, then A-1 is skew-symmetric.
(D) The adjoint of a diagonal matrix is a diagonal matrix.
Choose the correct answer from the options given below :
1
(A) and (D) only
2
(A), (B) and (C) only
3
(B), (C) and (D) only
4
(C) and (D) only
03
PYQ 2023
medium
mathematics ID: cuet-pg-
A. If A and B are two invertible matrices, then (AB)-1 = A-1 B-1
B. Every skew-symmetric matrix of odd order is invertible
C. If A is non-singular matrix, then (AT)-1 = (A-1)T
D. If A is an involutory matrix, then (I+A) (I-A) = 0
E. A diagonal matrix is both an upper triangular and a lower triangular
Choose the correct answer from the options given below :
B. Every skew-symmetric matrix of odd order is invertible
C. If A is non-singular matrix, then (AT)-1 = (A-1)T
D. If A is an involutory matrix, then (I+A) (I-A) = 0
E. A diagonal matrix is both an upper triangular and a lower triangular
Choose the correct answer from the options given below :
1
A, B, C, E only
2
B, D, E only
3
A, D, E only
4
C, D, E only
04
PYQ 2023
medium
mathematics ID: cuet-pg-
If x,y,z are all distinct and =0, then the value of xyz is
1
-2
2
-1
3
-3
4
0
05
PYQ 2023
medium
mathematics ID: cuet-pg-
If A = and B = , what is the value of (2A-3B)?
1
2
3
4
06
PYQ 2023
medium
mathematics ID: cuet-pg-
If A= B= and C = . The value of A+ (B+C) is
1
2
3
4
07
PYQ 2023
medium
mathematics ID: cuet-pg-
For Matrix , the sum and differences of maximum & minimum 1 eight value of Matrix are 4 and 8, then the eigen values for the Matrix A are.
1
5, -1, 9
2
-2, 6, 3
3
7, 3, 2
4
-1,6, 3
08
PYQ 2023
medium
mathematics ID: cuet-pg-
The system matrix of a linear time invariant continuous time system is given by
What are the roots of characteristics equation.
What are the roots of characteristics equation.
1
-1,-4
2
-1.-5
3
-4.-5
4
0.-1
09
PYQ 2023
medium
mathematics ID: cuet-pg-
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
Assertion A: The state transition matrix represents the free response of the system.
Reason R: The state transition matrix satisfies the homogeneous state equation
In the light of the above statements, choose the most appropriate answer from the options given below :
Assertion A: The state transition matrix represents the free response of the system.
Reason R: The state transition matrix satisfies the homogeneous state equation
In the light of the above statements, choose the most appropriate answer from the options given below :
1
Both A and R are correct and R is the correct explanation of A
2
Both A and R are correct but R NOT the correct explanation of A
3
A is correct but R is not correct
4
A is not correct but R is correct
10
PYQ 2023
medium
mathematics ID: cuet-pg-
The bus admittance matrix of a power system is given as.
1 2 3
The impedance of line between bus 2 and bus 3 will be equal to____
1 2 3
The impedance of line between bus 2 and bus 3 will be equal to____
1
-j0.1
2
+j0.2
3
-j0.2
4
+j0.1
11
PYQ 2023
medium
mathematics ID: cuet-pg-
A solar photovoltaic system feeds power to a motor of 1hp at the shaft. The motor has an efficiency of 85%. Each module has 40 multi crestline Silicone solar cells arranged in 9x5 matrix? The cell is 130 mm×130 mm and the cell efficiency is 13%. Calculate the number of photovoltaic modules required, assuming global radiation incident to the panel as 1kW/m²
1
7
2
8
3
9
4
10
12
PYQ 2023
medium
mathematics ID: cuet-pg-
If and I = unit matrix, then the value of is:
1
3I
2
4I
3
5I
4
6I
13
PYQ 2023
medium
mathematics ID: cuet-pg-
Any square matrix A can be expressed as:
1. The product of a symmetric and a skew-symmetric matrices.
2. The division of a symmetric matrix by a skew-symmetric matrix.
3. The sum of a symmetric and a skew-symmetric matrices.
4. The subtraction of a symmetric from a skew-symmetric matrix.
1. The product of a symmetric and a skew-symmetric matrices.
2. The division of a symmetric matrix by a skew-symmetric matrix.
3. The sum of a symmetric and a skew-symmetric matrices.
4. The subtraction of a symmetric from a skew-symmetric matrix.
1
2
3
4
14
PYQ 2023
medium
mathematics ID: cuet-pg-
If X is a square matrix of order NxN, then for any constant c, |cX| is equal to,
1
c|X|
2
c2|X|
3
cN|X|
4
cN2|X|
15
PYQ 2023
medium
mathematics ID: cuet-pg-
If X and Y are invertible matrices of same order then
1
(XY)-1=X-1 y-1
2
(XY)-1=y-1 X-1
3
(XY)-1=X-1 Y-1 <
4
(XY)-1=XY-1
About Matrix - CUET-PG
Matrix is a vital chapter for CUET-PG aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.
By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.
Frequently Asked Questions
Why focus on Matrix PYQs?
Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.
How to best use this analysis?
Review the topic breakdown to see which sub-topics within Matrix carry the most weight. Then, tackle the questions iteratively to solidify your understanding.