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 =


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Triangular Matrices & operations on matrices58 mins
Determinants of Matrices of different order59 mins
Types of Matrices & Properties51 mins
Determining a determinant63 mins
Lecture on Product of Determinants58 mins
Interactive Quiz on Properties of Determinants43 mins
Know About finding the Adjoint & Inverse Of Matrix46 mins
Test Yourself, Properties of Determinants30 mins
Interactive Quiz on Matrices & Determinants48 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses