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Using the definition of the dot-product, transposition, and multiplication operators on matrices, prove the simple identities below, where a, b are two column vectors n x 1, A and B are two m x n matrices: • Q3.1 a b = ba Q3.2 (A+B) = AT + BT . Q3.3 (ATB) = BTA

Using the definition of the dot-product, transposition, and multiplication operators on matrices, prove the simple identities below, where a, b are two column vectors n x 1, A and B are two m x n matrices: • Q3.1 a b = ba Q3.2 (A+B) = AT + BT . Q3.3 (ATB) = BTA

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Using the definition of the dot-product, transposition, and multiplication operators on matrices, prove the simple identities below, where a, b are two column vectors n x 1, A and B are two m x n matrices: • Q3.1 a b = ba Q3.2 (A+B) = AT + BT . Q3.3 (ATB) = BTA
Transcribed Image Text:Using the definition of the dot-product, transposition, and multiplication operators on matrices, prove the simple identities below, where a, b are two column vectors n x 1, A and B are two m x n matrices: • Q3.1 a b = ba Q3.2 (A+B) = AT + BT . Q3.3 (ATB) = BTA
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