First slide
Operations of matrix
Question

If A and B are square matrices of order n, then AλI and BλI commute for every scalar λ, only if

Moderate
Solution

(AλI)(BλI)=(BλI)(AλI) or  ABλ(A+B)I+λ2I2=BAλ(B+A)I+λ2I2 or  AB=BA

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