Explore topic-wise MCQs in Mathematics Questions and Answers.

This section includes 6 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.

1.

If A=\(\begin{bmatrix}a&b\\c&d\end{bmatrix}\), then which of the following is skew-symmetric?

A. AA’
B. A+A’
C. 2(A+A’)
D. A-A’
Answer» D. A-A’
Discussion
2.

If A=\(\begin{bmatrix}1&0\\0&1\end{bmatrix}\), then which of the following statement is incorrect?

A. A is a skew-symmetric matrix
B. A is a square matrix
C. A is a symmetric
D. A is an identity matrix
Answer» B. A is a square matrix
Discussion
3.

The matrix A=\(\begin{bmatrix}2&9\\2&6\end{bmatrix}\) as a sum of symmetric and skew-symmetric matrix is ______

A. \( \frac{1}{4} \begin{bmatrix}4&11\\11&12\end{bmatrix} – \frac{1}{2} \begin{bmatrix}0&7\\-7&0\end{bmatrix}\)
B. \( \frac{1}{4} \begin{bmatrix}4&11\\11&12\end{bmatrix} + \frac{1}{2} \begin{bmatrix}0&7\\7&0\end{bmatrix}\)
C. \( \frac{1}{2} \begin{bmatrix}4&11\\11&12\end{bmatrix} + \frac{1}{2} \begin{bmatrix}0&7\\-7&0\end{bmatrix}\)
D. \( \frac{1}{2} \begin{bmatrix}4&11\\11&12\end{bmatrix} – \frac{1}{2} \begin{bmatrix}0&7\\-7&0\end{bmatrix}\)
Answer» D. \( \frac{1}{2} \begin{bmatrix}4&11\\11&12\end{bmatrix} – \frac{1}{2} \begin{bmatrix}0&7\\-7&0\end{bmatrix}\)
Discussion
4.

The matrix A=\(\begin{bmatrix}0&1&1\\1&0&-1\\-1&1&0\end{bmatrix}\) is symmetric.

A. True
B. False
Answer» C.
Discussion
5.

The matrix A=\(\begin{bmatrix}0&1&-1\\-1&0&1\\1&-1&0\end{bmatrix}\) is __________

A. scalar matrix
B. identity matrix
C. symmetric matrix
D. skew-symmetric matrix
Answer» E.
Discussion
6.

The matrix A=\(\begin{bmatrix}1&2\\2&1\end{bmatrix}\) is a ____________

A. symmetric matrix
B. skew-symmetric matrix
C. null matrix
D. diagonal matrix
Answer» B. skew-symmetric matrix
Discussion