Answer :

Given: and f(x) = x3 + 4x2 – x


To find the value of f(A)


We will substitute x = A in the given equation we get


f(A) = A3 + 4A2 – A ……………..(i)


Now, we will find the matrix for A2, we get




[as cij = ai1b1j + ai2b2j + … + ainbnj]




Now, we will find the matrix for A3, we get





So, Substitute corresponding values from eqn(i) and (ii) in equation f(A) = A3 + 4A2 – A, we get






[as rij = aij + bij + cij],



Hence the value of


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