Q27 of 124 Page 186

If show that

Given :

To show :

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

A =

A² = ×

A² =

We know that cos2α = and sin2α =

A² =

If and (A + B)² = (A² + B²) then find the values of a and b.

If show that F(x) . F(y) = F(x + y).

If find x.