Q. 43

# 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 Rate this question :

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