If , n ∈ N, the A4n equals

Q2 of 307 Page 6

If , n ∈ N, the A⁴ⁿ equals

{n = 1, so the exponent comes out to be 4 and if n = 2, which will turn the exponent to 8, and the same cycle will repeat.}

Option (C) is the answer.

Let A and B be matrices of orders 3 × 2 and 2 × 4 respectively. Write the order of matrix AB.

If , then A² is equal to

If A and B are two matrices such that AB = A and BA = B, then B² is equal to

If AB = A and BA = B, where A and B are square matrices, then