CUET-PG SERIES Mathematics
Matrices
13 previous year questions.
Volume: 13 Ques
Yield: Medium
High-Yield Trend
13
2023 Chapter Questions 13 MCQs
01
PYQ 2023
hard
mathematics ID: cuet-pg-
Let F: R3 →R2 be the linear map defined by F(x, y, z) = (3x+2y-4z, x-5y+3z). The basis of R3 is S and basis of R2 is S', where S = {(1, 1, 1), (1, 1, 0), (1, 0, 0)} and S' = {(1, 3), (2, 5)}. Then the matrix of F in the bases of R3 and R2 is
1
2
3
4
02
PYQ 2023
easy
mathematics ID: cuet-pg-
If and then A+B =
1
2
3
4
03
PYQ 2023
medium
mathematics ID: cuet-pg-
The rank of matrix A =
1
4
2
3
3
2
4
1
04
PYQ 2023
medium
mathematics ID: cuet-pg-
Let A = then the matrix B that represents the linear operator A relative to the basis
S = { }= , is:
S = { }= , is:
1
2
3
4
05
PYQ 2023
medium
mathematics ID: cuet-pg-
Which one of the following is a cyclic group?
1
The set of non-zero square matrices of order 2 × 2 over R under matrix multiplication
2
The group of roots (real or complex) of the equation xn - 1 = 0, where n is a natural number
3
The group Q/{0} of non-zero rationals under multiplication
4
The group Q of rationals under addition
06
PYQ 2023
medium
mathematics ID: cuet-pg-
The matrix P is the inverse of a matrix Q. If I denotes the identity matrix, which one of the following options is correct?
1
PQ=I but QP \neq I
2
QP=I but PQ \neq I
3
PQ=I but QP=I
4
PQ-QP = I
07
PYQ 2023
medium
mathematics ID: cuet-pg-
If the matrices form a group with respect to matrix multiplication, then which one of the following statements about the groups, thus formed is correct?
1
The group has no element of order 4.
2
The group has an element of order 3.
3
The group is non-abelian
4
is its own inverse
08
PYQ 2023
medium
mathematics ID: cuet-pg-
Consider the linear mapping F: R2 →R2 defined by F(x, y) = (3x+4y, 2x-5y) and following bases of R2: E= {e1, e2} = {(1, 0), (0, 1)} and S = {u1, u2} = {(1, 2), (2, 3)}. Then the matrix A representing F relative to the basis E is:
1
2
3
4
09
PYQ 2023
medium
mathematics ID: cuet-pg-
If λ1,λ2,λ3 are the given values of the matrix , then λ12+λ22+λ32 is equal to
1
45
2
40
3
34
4
43
10
PYQ 2023
medium
mathematics ID: cuet-pg-
The dimension of the general solution space W of the homogeneous system
x1+2x2-3x3+2x4-4x5=0
2x1+4x2-5x3+x4-6x5 = 0
5x1+10x2-13x3+4x4-16x5= 0
x1+2x2-3x3+2x4-4x5=0
2x1+4x2-5x3+x4-6x5 = 0
5x1+10x2-13x3+4x4-16x5= 0
1
2
2
3
3
4
4
5
11
PYQ 2023
medium
mathematics ID: cuet-pg-
If A= , then which one of the following is true?
1
Rank(A)=4
2
Rank(A)=3
3
Rank(A)=2
4
Rank(A)=1
12
PYQ 2023
medium
mathematics ID: cuet-pg-
Let A and B be 2 × 2 matrices, then which of the following is correct?
1
det(A + B) + det(A - B) = 2 det(A) + 2 det(B)
2
det(A + B) + det(A - B) = det(A) + det(B)
3
det(A + B) + det(A - B) = det(A) - det(B)
4
det(A + B) + det(A - B) = 2 det(A) -2 det(B)
13
PYQ 2023
medium
mathematics ID: cuet-pg-
If A is symmetric real valued matrix of dimension 2022, then eigenvalues of A are
1
1011 distinct pairs of complex conjugate numbers
2
1011 pairs of complex conjugate numbers not necessarily distinct
3
2022 distinct real values
4
2022 real values not necessarily distinct
About Matrices - CUET-PG
Matrices 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.
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