Advertisement Remove all ads

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`

Advertisement Remove all ads

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
  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

NCERT Class 12 Maths
Chapter 3 Matrices
Q 2 | Page 100
Advertisement Remove all ads

Video TutorialsVIEW ALL [2]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×