If f(x) = x2 – 2x, find f(A), where
Given: and f(x) = x2 – 2x
To find the value of f(A)
We will substitute x = A in the given equation we get
f(A) = A2 – 2A……………..(i)
Now, we will find the matrix for A2, we get
[as cij = ai1b1j + ai2b2j + … + ainbnj]
Now, we will find the matrix for 2A, we get
So, Substitute corresponding values from eqn(i) and (ii) in equation f(A) = A2 – 2A, we get
[as rij = aij + bij + cij],
Hence the value of