If f(x) = x2 – 2x, find f(A), where

Q42 of 307 Page 5

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 c_ij = a_i1b_1j + a_i2b_2j + … + a_inb_nj]

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 r_ij = a_ij + b_ij + c_ij],

Hence the value of

Solve the matrix equations:

If compute A² – 4A + 3I₃.

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