# If <img width="12

To prove: A2 – 5A + 7I = 0

Given: A =

L.H.S: A2 – 5A + 7I

R.H.S = 0

I =

Calculating value of A2:

A2 = A.A

=

=

=

=

Substituting value in L.H.S we get,

= A2 – 5A + 7I

.

= 0 = R.H.S

L.H.S = R.H.S

Hence A2 – 5A + 7I = 0 is proved.

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