Q17 of 307 Page 6

If A = [a_ij] is a 2 × 2 matrix such that a_ij = i + 2j, write A.

Given: A = [a_ij] is a 2 × 2 matrix

…(i)

Given that a_ij = i + 2j

So, a₁₁ = 1 + 2 × 1 = 1 + 2 = 3

a₁₂ = 1 + 2 × 2 = 1 + 4 = 5

a₂₁ = 2 + 2 × 1 = 2 + 2 = 4

a₂₂ = 2 + 2 × 2 = 2 + 4 = 6

Putting the values in eq. (i), we get

If , find A⁴.

If [x 2], find x.

Write matrix A satisfying .

If A = [a_ij] is a square matrix such that a_ij = i² – j², then write whether A is symmetric or skew-symmetric.

If A = [aij] is a 2 × 2 matrix such that aij = i + 2j, write A.