Q9 of 124 Page 186

If show that A² = O.

Given :

Matrix A is of order 2 2

To show : A² = O

Formula used :

Where c_ij = a_i1b_1j + a_i2b_2j + a_i3b_3j + ……………… + a_inb_nj

If A is a matrix of order a b and B is a matrix of order c d ,then matrix AB exists and is of order a d ,if and only if b = c

A² = =

A² =

A² = O

7 B

Verify that A(B + C) = (AB + AC), when

and

If and verify that A(B – C) = (AB – AC).

If show that A² = A.

If show that A² = I.

If show that A2 = O.