NCERT Resources > NCERT Class 12 > NCERT Class 12 Maths

Access Free Repository for Maths Grade 12

Being a board year, learning resources for CBSE learners becomes most critical to own. Help streamline learning resources for your child with Learner's Note's FREE learning resources for grade 12. Enable key critical thinking skills, exploratory skills and application learning with our useful Grade 12 CBSE mathematics solution-inspired repository.
Navigate through the repository by searching for resources on the basis of subjects and topics. Happy learning to you!

Get Grade 12 Resources

Class 12
Maths :-NCERT Solutions - Matrices

Page No 100:
Question 3:
If, then prove where n is any positive integer


Answer:

It is given that

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.

That is,

Now, we prove that the result is true for n = k + 1.

Therefore, the result is true for n = k + 1.

Thus, by the principle of mathematical induction, we have: