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NCERT Class 12- Mathematics: Exemplar Chapter β 3 Matrices Part 22
Fill in the Blanks in Each of the Exercises 68 β 81
Question 68:
________ matrix is both symmetric and skew symmetric matrix.
Answer:
Null Matrix
Question 69:
Sum of two skew symmetric matrices is always ________ matrix.
Answer:
Skew symmetric matrix
Question 70:
The negative of a matrix is obtained by multiplying it by ________.
Answer:
Question 71:
The product of any matrix by the scalar ________ is the null matrix.
Answer:
Question 72:
A matrix which is not a square matrix is called a ________ matrix.
Answer:
Rectangular matrix
Question 73:
Matrix multiplication is ________ over addition.
Answer:
Distributive
Question 74:
If A is a symmetric matrix, then is a ________ matrix.
Answer:
Symmetrix matrix
Question 75:
If A is a skew symmetric matrix, then is a ________.
Answer:
Symmetrix matrix
Question 76:
If A and B are square matrices of the same order, then
(i) = ________.
(ii) ________. ( is any scalar)
(iii) = ________.
Answer:
(i) (ii) (iii)
Question 77:
If A is symmetric, then is a ________. ( is any scalar)
Answer:
Skew Symmetric matrix
Question 78:
If A and B are symmetric matrices, then
(i) is a ________.
(ii) is a ________.
Answer:
(i) Skew symmetric matrix
(ii) Neither symmetric nor skew symmetric matrix
Question 79:
If A is symmetric matrix, then is ________.
Answer:
Symmetric matrix
Question 80:
If A and B are symmetric matrices of same order, then AB is symmetric if and only if ________.
Answer:
AB = BA