Let A and B be matrices such that they commute. By Mathematical Induction, prove that `AB^n = B^nA`.

By Mathematical Induction, prove that : n! 1 .

By Mathematical Induction, prove that : (1+1/n)^n len for all nge3 .

By Principle of Mathematical Induction, prove that : 2^n >n for all n in N.

Let A and B are two matrices such that AB = BA, then for every n in N

f A and B are square matrices of the same order such that AB = BA, then prove by induction that AB^n = B^nA Further, prove that (AB)^n = A^nB^n for all n in N

If A and B are two matrices such that both A+B and AB are defined, then

By the Principle of Mathematical Induction, prove the following for all n in N : n^2-n+41 is prime.

Using principle of mathematical induction, prove that: 1+3+5+………..+(2n-1)= n^2 .

If A and B be square matrices of the same order such that AB=BA, prove that : (A-B)^2 = A^2 - 2AB + B^2