Compute the elements a₄₃ and a₂₂ of the matrix:

For the following matrices verify the distributivity of matrix multiplication over matrix addition i.e. A(B + C) = AB + AC.

and

If and verify that A(B – C) = AB – AC

If and I is the identity matrix of order 3, show that A³ = pl + qA + rA².

If ω is a complex cube root of unity, show that