Mathematics 9 (Complete Solutions)
Q6
For the matrices
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, |
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, |
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verify that. |
(i) (AB)t = BtAt
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(ii) (BC)t = CtBt
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Solution:
(i) (AB)t = BtAt
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= |
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= |
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= |
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= |
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= |
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Hence verified that (AB)t = BtAt
(ii) (BC)t = CtBt
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= |
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= |
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= |
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= |
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= |
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Hence verified that (BC)t = CtBt