Class 12 Mathematics - Chapter 3: Matrices MCQ Questions

18 Questions 36 Minutes

Progress: 0 / 18

Your Class 12 Mathematics Study Path

Question 1

If n =p, then the order of the matrix 7X – 5Z is:

A p Ã— n.

B n Ã— 3

C 2 Ã— n

D p Ã— 2

Question 2

If A is a matrix of order m Ã— n and B is a matrix such that AB’ and B’A are both defined, then order of matrix B is

A m Ã— n.

B n Ã— m

C n Ã— n

D m Ã— m

Question 3

For any two matrices A and B, we have :

A None of these.

B AB = 0

C AB â‰ BA

D AB = BA

Question 4

The number of 3 Ã— 3 non-singular matrices, with four entries as 1 and all other entries as 0, is:

A at least 7.

B 6

C 5

D less than 4

Question 5

The restrictions on n, k and p so that PY + WY will be defined are

A k = 2,p = 3.

B p is arbitrary

C k is arbitrary, p = 2

D k = 3, p = n

Question 6

If A = [a_ij]_{m Ã— n} is a square matrix, if:

A None of these.

B m = n

C m > n

D m < n

Question 7

If A is a square matrix such that AÂ² = A, then (I + A)Â³ – 7A is equal to :

A 3A.

B I

C I – A

D A

Question 8

end{array}right]) is a

A square matrix.

B unit matrix

C diagonal matrix

D scalar matrix

Question 9

The number of all possible matrices of order 3 Ã— 3 with each entry 0 or 1 is

A 512.

B 81

C 18

D 27

Question 10

If A, B are symmetric matrices of same order, then AB – BA is a

A Identity matrix.

B Zero matrix

C Symmetric matrix

D Skew-symmetric matrix

Question 11

end{array}right]) then A + A’ = I, the value of Î± is

A (frac { 3Ï€ }{2})

B Ï€

C (frac { Ï€ }{3})

D (frac { Ï€ }{6})

Question 12

end{array}right])

A x = –(frac { 1 }{3}), y = –(frac { 2 }{3})

B y = 7, x = –(frac { 2 }{3})

C Not possible to find

D x = –(frac { 1 }{3}), y = 7

Question 13

If A is an 3 Ã— 3 non-singular matrix such that AA’ = A’A and B = A^-1 A’, then BB’ equals

A I + B.

B (B^-1)’

C B^-1

D I

Question 14

end{array}right]) is such that AÂ² = I, then

A 1 + Î±Â² – ÃŸÎ³ = 0

B 1 – Î±Â² – ÃŸÎ³ = 0

C 1 – Î±Â² + ÃŸÎ³ = 0

D 1 + Î±Â² + ÃŸÎ³ = 0

Question 15

A 2I

B O

C I

D then A – B is equal to

Question 16

where a_ij = 1 if i â‰ j = 0 if i = j,

A None of these

B O

C A

D I

Question 17

If a matrix is both symmetric and skew- symmetric matrix, then:

A None of these.

B A is a square matrix

C A is a zero matrix

D A is a diagonal matrix

Question 18

Matrices A and B will be inverse of each other only if:

A AB = BA = I.

B AB = O, BA = I

C AB – BA = O

D AB = BA

Related Student Tools

P0 academic

Grade Calculator

Convert marks into grade bands with transparent thresholds.

P0 academic

Marks Percentage Calculator

Calculate exam or subject-wise marks percentage.

P0 academic

Percentage Calculator

Calculate percentage from obtained marks and total marks.

Keep learning

Discover More on SaralStudy

Explore all articles

Latest Blogs

Fresh educational articles and updates.

Popular Blogs

Most-read articles from SaralStudy.

Quick & Popular Links

Fast access to frequently used study resources.

Quick Links

NCERT Sample Papers Study Planner and Calculators NCERT Books CBSE Syllabus Previous Year Question Papers CBSE Board

What Students Are Viewing

Recently viewed articles based on SaralStudy activity.

Class 12 Mathematics - Chapter 3: Matrices MCQ Questions

Your Class 12 Mathematics Study Path

If n =p, then the order of the matrix 7X – 5Z is:

If A is a matrix of order m Ã— n and B is a matrix such that AB’ and B’A are both defined, then order of matrix B is

For any two matrices A and B, we have :

The number of 3 Ã— 3 non-singular matrices, with four entries as 1 and all other entries as 0, is:

The restrictions on n, k and p so that PY + WY will be defined are

If A = [a_ij]_{m Ã— n} is a square matrix, if:

If A is a square matrix such that AÂ² = A, then (I + A)Â³ – 7A is equal to :

end{array}right]) is a

The number of all possible matrices of order 3 Ã— 3 with each entry 0 or 1 is

If A, B are symmetric matrices of same order, then AB – BA is a

end{array}right]) then A + A’ = I, the value of Î± is

end{array}right])

If A is an 3 Ã— 3 non-singular matrix such that AA’ = A’A and B = A^-1 A’, then BB’ equals

end{array}right]) is such that AÂ² = I, then

where a_ij = 1 if i â‰ j = 0 if i = j,

If a matrix is both symmetric and skew- symmetric matrix, then:

Matrices A and B will be inverse of each other only if:

Practice Complete!

Related Student Tools

Grade Calculator

Marks Percentage Calculator

Percentage Calculator

Students Also Read

Discover More on SaralStudy

Latest Blogs

Popular Blogs

Quick & Popular Links

Quick Links

Popular Study Links

What Students Are Viewing

Class 12 Mathematics - Chapter 3: Matrices MCQ Questions

Your Class 12 Mathematics Study Path

If n =p, then the order of the matrix 7X – 5Z is:

If A is a matrix of order m Ã— n and B is a matrix such that AB’ and B’A are both defined, then order of matrix B is

For any two matrices A and B, we have :

The number of 3 Ã— 3 non-singular matrices, with four entries as 1 and all other entries as 0, is:

The restrictions on n, k and p so that PY + WY will be defined are

If A = [aij]m Ã— n is a square matrix, if:

If A is a square matrix such that AÂ² = A, then (I + A)Â³ – 7A is equal to :

end{array}right]) is a

The number of all possible matrices of order 3 Ã— 3 with each entry 0 or 1 is

If A, B are symmetric matrices of same order, then AB – BA is a

end{array}right]) then A + A’ = I, the value of Î± is

end{array}right])

If A is an 3 Ã— 3 non-singular matrix such that AA’ = A’A and B = A-1 A’, then BB’ equals

end{array}right]) is such that AÂ² = I, then

where aij = 1 if i â‰ j = 0 if i = j,

If a matrix is both symmetric and skew- symmetric matrix, then:

Matrices A and B will be inverse of each other only if:

Practice Complete!

Related Student Tools

Grade Calculator

Marks Percentage Calculator

Percentage Calculator

Students Also Read

Discover More on SaralStudy

Latest Blogs

Popular Blogs

Quick & Popular Links

Quick Links

Popular Study Links

What Students Are Viewing

If A = [a_ij]_{m Ã— n} is a square matrix, if:

If A is an 3 Ã— 3 non-singular matrix such that AA’ = A’A and B = A^-1 A’, then BB’ equals

where a_ij = 1 if i â‰ j = 0 if i = j,