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summer
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A set S of (necessarily square) matrices is said to be closed under multiplication if AB∈ S whenever A, B ∈ S.
Which of these matrices are closed under multiplication?
Circulant matrices
Upper triangular matrices
Hessenberg matrices
My trouble: How do I go about figuring this one out?
Which of these matrices are closed under multiplication?
Circulant matrices
Upper triangular matrices
Hessenberg matrices
My trouble: How do I go about figuring this one out?