Need solution for RD Sharma maths class 12 chapter Algebra of matrices exercise 4.3 question 60 math
Answer: Hence proved,
for every integer n.
Hint: We use the principle of mathematical induction.
for every positive integer n. …(i)
step 1: put n=1 in eqn(i)
So, is true for n=1
Step 2 : let be true for n=k, so
Step 3: we will prove that will be true for n=k+1
Hence, is true for n=k+1 wherever it is true for n=k
So, by principle of mathematical induction is true for all positive integers n.