Matrices: Class 12 Fundamentals

Question 1

If a matrix has 'm' rows and 'n' columns, what is its order?

Accepted Answer

m x n

Answer

n x m

Answer

m + n

Answer

mn

Question 2

Which type of matrix has all its diagonal elements equal, while all non-diagonal elements are zero?

Accepted Answer

Scalar matrix

Answer

Identity matrix

Answer

Zero matrix

Answer

Symmetric matrix

Question 3

For two matrices A and B to be conformable for addition or subtraction, what must be true about them?

Accepted Answer

They must have the same order

Answer

They must be square matrices

Answer

They must be diagonal matrices

Answer

One must be the transpose of the other

Question 4

If matrix A is of order p x q and matrix B is of order r x s, for the product AB to be defined, which condition must be satisfied?

Accepted Answer

q = r

Answer

p = r

Answer

q = s

Answer

p = s

Question 5

A square matrix A is called a skew-symmetric matrix if:

Accepted Answer

A = -Aᵀ

Answer

A = Aᵀ

Answer

A² = I

Answer

A = 0

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