Question

Prove that if BA=I then BA=AB.

Answer 1

Answer with Step-by-step explanation:

Since we have given that

`BA=I`

As we know that

AA⁻¹ = I (A is invertible matrix)

Multiplying A⁻¹ on the both the sides:

`BAA^(-1)=IA^(-1)\\\\B=A^(-1)`

Using the above result, we get that

`BA=I=AA^(-1)\\\\BA=AB`

Therefore, BA = AB

Hence, proved.