2 x 2 matrices A and B, if all entries of the produc Either all entries of A, or all entries of B, or both, m 1 or B must be the identity matrix t's not possible for all entries of AB to be 0

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 79E
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For two 2 x 2 matrices A and B, if all entries of the product AB are 0 then?
a. Either all entries of A, or all entries of B, or both, must be 0
b. A or B must be the identity matrix
c. It's not possible for all entries of AB to be 0
d. None of the above.
Transcribed Image Text:For two 2 x 2 matrices A and B, if all entries of the product AB are 0 then? a. Either all entries of A, or all entries of B, or both, must be 0 b. A or B must be the identity matrix c. It's not possible for all entries of AB to be 0 d. None of the above.
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