NCERT Class 12-Mathematics: Exemplar Chapter –3 Matrices Part 4
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Objective Type Questions
Choose the Correct Answer from the Given Four Options in Examples 9 to 12
Question 9:
If A and B are square matrices of the same order, then is equal to
(A)
(B)
(C)
(D)
Answer:
(C) Is correct answer.
Question 10:
If
(A) Only AB is defined
(B) Only BA is defined
(C) AB and BA both are defined
(D) AB and BA both are not defined.
Answer:
(C) Is correct answer.
Let Both AB and BA are defined.
Question 11:
The matrix is a
(A) Scalar matrix
(B) Diagonal matrix
(C) Unit matrix
(D) Square matrix
Answer:
(D) Is correct answer.
Question 12:
If A and B are symmetric matrices of the same order, then is a
(A) Skew symmetric matrix
(B) Null matrix
(C) Symmetric matrix
(D) None of these
Answer:
(A) Is correct answer since
Fill in the Blanks in Each of the Examples 13 to 15
Question 13:
If A and B are two skew symmetric matrices of same order, then AB is symmetric matrix if ________.
Answer:
.
Question 14:
If A and B are matrices of same order, then is equal to ________.
Answer:
.
Question 15:
Addition of matrices is defined if order of the matrices is ________
Answer:
Same.
State Whether the Statements in Each of the Examples 16 to 19 is True or False
Question 16:
If two matrices A and B are of the same order, then .
Answer: True
Question 17:
Matrix subtraction is associative
Answer: False
Question 18:
For the non-singular matrix .
Answer: True
Question 19:
for any three matrices of same order.
Answer: False