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If a = Matric [(1,1,1),(1,1,1),(1,1,1)], Prove that A" N∈N - CBSE (Science) Class 12 - Mathematics

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Question

if A = [(1,1,1),(1,1,1),(1,1,1)], Prove that A" = `[(3^(n-1),3^(n-1),3^(n-1)),(3^(n-1),3^(n-1),3^(n-1)),(3^(n-1),3^(n-1),3^(n-1))]` `n in N`

Solution

We shall prove the result by using the principle of mathematical induction.

For n = 1, we have:

Therefore, the result is true for n = 1.

Let the result be true for n = k.

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Solution If a = Matric [(1,1,1),(1,1,1),(1,1,1)], Prove that A" N∈N Concept: Types of Matrices.
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