Question: True or False? Explain. If false, show counterexample. Matrix A= a 11 a 12 a 21 a 22 , Matrix C= a 22 -a 12
True or False? Explain. If false, show counterexample.
Matrix A=
| a11 | a12 |
| a21 | a22 |
, Matrix C=
| a22 | -a12 |
| -a21 | a11 |
Call C the sister matrix of A. The sisters have opposite determinants.
Is the product of the sister matrices commutative?
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