Explore topic-wise MCQs in Mathematics.

This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

Which of the following condition is incorrect for matrix multiplication?

A. A(BC)=(AB)C
B. A(B+C)=AB+AC
C. AB=0 if either A or B is 0
D. AB=BA
Answer» E.
Discussion
2.

Let A= ( begin{bmatrix}3&-5&2 -4&-6&2 7&1&5 end{bmatrix} ). Find the additive inverse of A.

A. ( begin{bmatrix}-3&5&-2 -4&6&2 7&1&5 end{bmatrix} )
B. ( begin{bmatrix}3&-5&2 -4&-6&2 7&1&5 end{bmatrix} )
C. ( begin{bmatrix}-3&5&-2 4&6&-2 -7&-1&-5 end{bmatrix} )
D. ( begin{bmatrix}-3&5&2 -4&6&-2 -7&-1&5 end{bmatrix} )
Answer» D. ( begin{bmatrix}-3&5&2 -4&6&-2 -7&-1&5 end{bmatrix} )
Discussion
3.

Matrix addition and matrix multiplication both are commutative.

A. True
B. False
Answer» C.
Discussion
4.

Find AB if A = ( begin{bmatrix}1&2 3&4 end{bmatrix} ) and B = ( begin{bmatrix}1&5 3&2 end{bmatrix} ).

A. AB = ( begin{bmatrix}15&23 9&7 end{bmatrix} )
B. AB = ( begin{bmatrix}9&7 23&15 end{bmatrix} )
C. AB = ( begin{bmatrix}7&9 15&23 end{bmatrix} )
D. AB = ( begin{bmatrix}7&9 23&15 end{bmatrix} )
Answer» D. AB = ( begin{bmatrix}7&9 23&15 end{bmatrix} )
Discussion
5.

Find the value of x and y if 2 ( begin{bmatrix}5&x y-4&6 end{bmatrix} )+ ( begin{bmatrix}-4&1 3&2 end{bmatrix} )= ( begin{bmatrix}6&3 10&14 end{bmatrix} )?

A. x=-1, y=9
B. x=-1, y=-9
C. x=1, y=-9
D. x=1, y=9
Answer» E.
Discussion
6.

Find the matrix M and N, if M+N = ( begin{bmatrix}5&6 7&8 end{bmatrix} ),M-N = ( begin{bmatrix}4&5 6&8 end{bmatrix} ).

A. M=1/2 ( begin{bmatrix}9&11 13&16 end{bmatrix} ), N=1/2 ( begin{bmatrix}1&1 1&0 end{bmatrix} )
B. M= ( begin{bmatrix}5&6 7&8 end{bmatrix} ), N= ( begin{bmatrix}4&5 8&6 end{bmatrix} )
C. M=1/2 ( begin{bmatrix}9&2 13&16 end{bmatrix} ), N=1/2 ( begin{bmatrix}1&1 2&5 end{bmatrix} )
D. M=1/2 ( begin{bmatrix}4&5 1&2 end{bmatrix} ), N=1/2 ( begin{bmatrix}1&2 1&2 end{bmatrix} )
Answer» B. M= ( begin{bmatrix}5&6 7&8 end{bmatrix} ), N= ( begin{bmatrix}4&5 8&6 end{bmatrix} )
Discussion
7.

If A+B = ( begin{bmatrix}6&7 5&0 end{bmatrix} )and A = ( begin{bmatrix}2&5 1&-1 end{bmatrix} ). Find the matrix B.

A. B = ( begin{bmatrix}4&1 2&4 end{bmatrix} )
B. B = ( begin{bmatrix}4&2 4&1 end{bmatrix} )
C. B = ( begin{bmatrix}4&1 4&2 end{bmatrix} )
D. B = ( begin{bmatrix}4&4 4&2 end{bmatrix} )
Answer» C. B = ( begin{bmatrix}4&1 4&2 end{bmatrix} )
Discussion
8.

If A = ( begin{bmatrix}3&4 1&2 end{bmatrix} ) and B = ( begin{bmatrix}1&5 2&3 end{bmatrix} ), find 2A-3B.

A. ( begin{bmatrix}3&7 -4&5 end{bmatrix} )
B. ( begin{bmatrix}-3&-7 -4&-5 end{bmatrix} )
C. ( begin{bmatrix}3&7 -4&-5 end{bmatrix} )
D. ( begin{bmatrix}3&-7 -4&-5 end{bmatrix} )
Answer» E.
Discussion
9.

If A = ( begin{bmatrix}1&2&3 9&10&11 end{bmatrix} ) and B = ( begin{bmatrix}0&5&0 5&0&5 end{bmatrix} ), then find A+B.

A. A+B = ( begin{bmatrix}1&7&3 11&10&16 end{bmatrix} )
B. A+B = ( begin{bmatrix}1&7&3 14&11&13 end{bmatrix} )
C. A+B = ( begin{bmatrix}1&7&3 14&10&16 end{bmatrix} )
D. A+B = ( begin{bmatrix}1&5&3 14&10&16 end{bmatrix} )
Answer» D. A+B = ( begin{bmatrix}1&5&3 14&10&16 end{bmatrix} )
Discussion
10.

The addition of matrices is only possible if they are of the same order.

A. True
B. False
Answer» B. False
Discussion