Q. 405.0( 1 Vote )

If <span lang="EN

Answer :

Given, A =


A2 =


By matrix multiplication we can write:


A2 =


A2 = …(1)


As we have to find: A2 – 5A – 14I


A2 – 5A – 14I =


A2 – 5A – 14I =


A2 – 5A – 14I =


A2 – 5A – 14I = = O


We need to find value of A3 using the above equation:


Now we have,


A2 – 5A – 14I = O


A2 = 5A + 14I


Multiplying with A both sides


A2.A = 5A.A + 14IA


A3 = 5A2 + 14A


Using equation 1 we get:


A3 =


A3 =


A3 =


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