Let A and B be arbitrary 3 times 3 matrices. State \"True\" or \"False\" for eac

Question

Let A and B be arbitrary 3 times 3 matrices. State "True" or "False" for each of the following statements. You do not need to justify your answers If |A| = -5, then A is invertible. If |AB| = 0, then at least one of |A| and |B| must be zero. If |A| = 0 and |B| = 0, then |A + B| = 0. If |A| = 0 and |B| = 0, then |AB| = 0. |3A| = 3|A|. |-A| = -|A|. |A^3| = |A|^3. If every entry of A is positive, then |A| is positive. If every entry of A is integer, then |A| is an integer. |A + B| lessthanorequalto |A| + |B|.

Explanation / Answer

a. True

b, True

c, False

d. True

e. True

f. True

g. False

h. False

i. True

j. True

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