Q. 324.6( 7 Votes )

If prove that for all n N.

Answer :

Given :

Matrix A is of order 2 2.

To prove :

Proof :

A =

Let us assume that the result holds for An – 1

An – 1 =

We need to prove that the result holds for An by mathematical induction .

An = An – 1 × A = =

An = =

An =

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