Given : and f(x) = 2x³ + 4x + 5

Matrix A is of order 2 2.

To find : f(A)

Formula used :

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

A³ is a matrix of order 2 x 2.

f(x) = 2x³ + 4x + 5

f(A) = 2A³ + 4A + 5I

A² = = =

A² =

A³ = × =

A³ = =

A³ =

2A³ = 2 × =

2A³ =

4A = 4 × =

4A =

5I = 5 × =

5I =

2A³ + 4A + 5I = + + =

f(A) = 2A³ + 4A + 5I =

f(A) = 2A³ + 4A + 5I =