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.

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.

Which of the following matrices is both symmetric and skew symmetric?

A. A= ( begin{bmatrix}1&0 1&0 end{bmatrix} )
B. A= ( begin{bmatrix}0&0&0 0&0&0 0&0&0 end{bmatrix} )
C. A= ( begin{bmatrix}1&0&1 1&0&1 end{bmatrix} )
D. A= ( begin{bmatrix}0&0&-2 1&0&-1 2&0&0 end{bmatrix} )
Answer» C. A= ( begin{bmatrix}1&0&1 1&0&1 end{bmatrix} )
Discussion
6.

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
7.

Any square matrix can be expressed as a sum of symmetric and skew-symmetric matrix.

A. True
B. False
Answer» B. False
Discussion
8.

Which of the following conditions holds true for a skew-symmetric matrix?

A. A=IA
B. A=|A|
C. A=A
D. A=-A
Answer» B. A=|A|
Discussion
9.

Which of the following conditions holds true for a symmetric matrix?

A. A=-A
B. A=A
C. A=IA
D. A=|A|
Answer» C. A=IA
Discussion
10.

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