# If a = Matric [(1,1,1),(1,1,1),(1,1,1)], Prove that A" N∈N - Mathematics

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.

Concept: Types of Matrices
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#### APPEARS IN

NCERT Class 12 Maths
Chapter 3 Matrices
Q 2 | Page 100