Question : If B is a matrix such that B^2 =B and A=I-B then which of the following is correct? A^2=A A^2=I AB=0 BA=0 Solution : From the Given matrix equation \[ B^2 =B\] we have \[B^2-B=0\] \[ B\left(B-I\right)=0 \]…
Question : If B is a matrix such that B^2 =B and A=I-B then which of the following is correct? A^2=A A^2=I AB=0 BA=0 Solution : From the Given matrix equation \[ B^2 =B\] we have \[B^2-B=0\] \[ B\left(B-I\right)=0 \]…