NCERT Class 12-Mathematics: Exemplar Chapter – 3 Matrices Part 20 (For CBSE, ICSE, IAS, NET, NRA 2023)
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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)