Q18 of 307 Page 5

If and verify that A(B – C) = AB – AC

Given,

A, B

A(B - C)

A(B - C) =

AB – AC

From equation (1) and (2),We get

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

and

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

and

Compute the elements a₄₃ and a₂₂ of the matrix:

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