Explore topic-wise MCQs in Mathematics.

This section includes 8 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 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
5.

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
6.

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
7.

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
8.

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

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