Question

f A and B are two matrices such that AB=B and BA=a,then find the value of (A+B)*n

Answer 1

step by step explanation

A and b are two matrices

If AB=B AND BA=A

THEN,

we have to find A^2+B^2

we will find A^2 and B^2

A^2=A×A=A(BA)

B^2=B×B=B(AB)

If A and B are matrices means AB=BA

THEREFORE,

A^2=A(BA)=A(AB)=AB=B

B^2=B(AB)=B(BA)=BA=A

Therefore,

A^2+B^2=A+B

Hence, we solve this equation