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.

If A=\(\begin{bmatrix}i&1\\0&i\end{bmatrix}\), then the correct relation is ___________

A. A+A’=\(\begin{bmatrix}1&0\\-1&0\end{bmatrix}\)
B. A-A’=\(\begin{bmatrix}1&0\\-1&0\end{bmatrix}\)
C. A+A’=\(\begin{bmatrix}0&1\\-1&0\end{bmatrix}\)
D. A-A’=\(\begin{bmatrix}0&1\\-1&0\end{bmatrix}\)
Answer» E.
Discussion
2.

Which of the following is the reversal law of transposes?a) (A-B)’=B’-A’b) (AB)’=B’A’c) (AB)’=(B

A. (A-B)’=B’-A’
B. (AB)’=B’A’
C. (AB)’=(BA)’
D. (A+B)’=B’+A’
Answer» C. (AB)’=(BA)’
Discussion
3.

If P=\(\begin{bmatrix}-1&5\\8&3\end{bmatrix}\) and Q=\(\begin{bmatrix}4&2\\8&5\end{bmatrix}\). Find (2P+3Q’)’.

A. \(\begin{bmatrix}10&22\\34&21\end{bmatrix}\)
B. \(\begin{bmatrix}10&21\\34&22\end{bmatrix}\)
C. \(\begin{bmatrix}10&34\\22&21\end{bmatrix}\)
D. \(\begin{bmatrix}10&22\\21&34\end{bmatrix}\)
Answer» B. \(\begin{bmatrix}10&21\\34&22\end{bmatrix}\)
Discussion
4.

Find the transpose of the matrix A=\(\begin{bmatrix}-1&2&\sqrt{3}\\-4&5&\sqrt{6}\\-7&8&-9\end{bmatrix}\)

A. \(\begin{bmatrix}1&-2&-\sqrt{3}\\4&-5&-\sqrt{6}\\7&-8&9\end{bmatrix}\)
B. \(\begin{bmatrix}-1&-4&-7\\2&5&8\\\sqrt{3}&\sqrt{6}&-9\end{bmatrix}\)
C. \(\begin{bmatrix}1&4&7\\-2&-5&-8\\-\sqrt{3}&-\sqrt{6}&9\end{bmatrix}\)
D. \(\begin{bmatrix}1&4&7\\-2&5&2\\1&8&9\end{bmatrix}\)
Answer» C. \(\begin{bmatrix}1&4&7\\-2&-5&-8\\-\sqrt{3}&-\sqrt{6}&9\end{bmatrix}\)
Discussion
5.

If A=\(\begin{bmatrix}cos⁡x&-sin⁡x&-cos⁡x\\sin⁡x&-cos⁡x&sin⁡x \end{bmatrix}\). Find A’A.

A. \(\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\end{bmatrix}\)
B. \(\begin{bmatrix}1&0&1\\1&0&1\\1&0&1\end{bmatrix}\)
C. \(\begin{bmatrix}1&0&1\\0&1&0\\1&0&1\end{bmatrix}\)
D. \(\begin{bmatrix}1&0&0\\1&1&0\\1&1&1\end{bmatrix}\)
Answer» E.
Discussion
6.

If A’=\(\begin{bmatrix}8&2\\6&4\end{bmatrix}\) and B’=\(\begin{bmatrix}9&5\\7&3\end{bmatrix}\). Find (A+2B)’.

A. \(\begin{bmatrix}26&20\\10&12\end{bmatrix}\)
B. \(\begin{bmatrix}26&12\\20&10\end{bmatrix}\)
C. \(\begin{bmatrix}26&10\\20&12\end{bmatrix}\)
D. \(\begin{bmatrix}26&20\\12&10\end{bmatrix}\)
Answer» C. \(\begin{bmatrix}26&10\\20&12\end{bmatrix}\)
Discussion
7.

Find the transpose of A=\(\begin{bmatrix}1&-2\\-1&5\end{bmatrix}\).

A. A=\(\begin{bmatrix}-1&-2\\-1&-5\end{bmatrix}\)
B. A=\(\begin{bmatrix}1&2\\1&5\end{bmatrix}\)
C. A=\(\begin{bmatrix}-1&2\\-1&5\end{bmatrix}\)
D. A=\(\begin{bmatrix}1&-1\\-2&5\end{bmatrix}\)
Answer» E.
Discussion
8.

Which of the following is not the property of transpose of a matrix?a) (A’)’=Ab) (A+B)’=A’+B’c) (AB)’=(BA)’d) (k

A. (A’)’=A
B. (A+B)’=A’+B’
C. (AB)’=(BA)’
D. (kA)’=KA’
Answer» D. (kA)’=KA’
Discussion