If f(x) = x3 + 4x2 – x, find f(A), where
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