What are the properties of matrix multiplication? If A, B, and C are matrices conformable with respect to addition and multiplication, then (ABC) ...
What are the properties of matrix multiplication?
If A, B, and C are matrices conformable with respect to addition and multiplication, then (ABC) = A(BC).
If A and B are matrices of the same order, then (A+B)C = AC + BC.
If A, B, and C are matrices conformable with respect to addition and multiplication, then A(B+C) = AB + AC.
AB = BA.
If 0AB = 0, it does not imply that 0 = A or 0 = B.
If A, B, and C are matrices conformable with respect to addition and multiplication, then (ABC) = A(BC).
If A and B are matrices of the same order, then (A+B)C = AC + BC.
If A, B, and C are matrices conformable with respect to addition and multiplication, then A(B+C) = AB + AC.
AB = BA.
If 0AB = 0, it does not imply that 0 = A or 0 = B.
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