# NCERT Class 12-Mathematics: Exemplar Chapter – 3 Matrices Part 20 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 52:

Express the matrix as the sum of a symmetric and a skew symmetric matrix.

Answer:

We have,

Now,

## Objective Type Questions

### Choose the Correct Answer from the Given Four Options in Each of the Exercises 53 to 67

Question 53:

The matrix is a

(A) Square matrix

(B) Diagonal matrix

(C) Unit matrix

(D) None

Answer: (A)

Question 54:

Total number of possible matrices of order with each entry or is

(A)

(B)

(C)

(D)

Answer: (D)

Question 55:

If , then the value of is

(A)

(B)

(C)

(D)

Answer: (B)

Question 56:

If then is equal to

(A)

(B)

(C)

(D)

Answer: (D)

Question 57:

If A and B are two matrices of the order and , respectively, and , then the order of matrix is

(A)

(B)

(C)

(D)

Answer: (D)

Question 58:

If then is equal to

(A)

(B)

(C)

(D)

Answer: (D)