Question

If A and B are two square matrices of ordwr n and A and B commute then for any real numbet k. Then 》》 i want explanation and answer guys

Answer 1

Answer:

for any real number k

(a+b) ^k = binomial expansion

because

ab = ba , a and b are commute

for example if k= 2

then

(a+b) ^2= (a+b) (a+b) = a^2 + ab + ba +b^2

now ab = ba

= a^2+2ab +b^2

where a and b are matrices of same order

n×n

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