Please solve RD Sharma class 12 chapter Algebra of matrices exercise 4.3 question 58 maths textbook solution
Answer: Hence proved,
Hint: We use the principle of mathematical induction.
To show that:
for all …(i)
step 1: Put n=1 in eqn (i)
So, is true for n=1
Let, is true for n=k, so
Now, we have to show that
So, is true for n=k+1 whenever it is true for n=k
Hence, by principle of mathematical induction, is true for all positive integers n.