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Matrices

Question
CBSEENMA12032999
Wired Faculty App

Compute the indicated products :

(i) open square brackets table row straight a straight b row cell negative straight b end cell straight a end table close square brackets open square brackets table row a cell negative b end cell row b a end table close square brackets

Solution
open square brackets table row straight a straight b row cell negative straight b end cell straight a end table close square brackets open square brackets table row straight a cell negative straight b end cell row straight b straight a end table close square brackets equals open square brackets table row cell left parenthesis straight a right parenthesis left parenthesis straight a right parenthesis plus left parenthesis straight b right parenthesis left parenthesis straight b right parenthesis end cell cell left parenthesis straight a right parenthesis left parenthesis negative straight b right parenthesis left parenthesis straight b right parenthesis left parenthesis straight a right parenthesis end cell row cell left parenthesis negative straight b right parenthesis left parenthesis straight a right parenthesis plus left parenthesis straight a right parenthesis left parenthesis straight b right parenthesis end cell cell left parenthesis negative straight b right parenthesis left parenthesis negative straight b right parenthesis plus left parenthesis straight a right parenthesis left parenthesis straight a right parenthesis end cell end table close square brackets space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space open square brackets table row cell straight s squared plus straight b squared end cell cell negative ab plus left parenthesis straight b right parenthesis left parenthesis straight a right parenthesis end cell row cell left parenthesis negative straight b right parenthesis left parenthesis straight a right parenthesis plus left parenthesis straight a right parenthesis left parenthesis straight b right parenthesis end cell cell straight b squared plus straight a squared end cell end table close square brackets equals open square brackets table row cell straight a squared plus straight b cubed end cell 0 row 0 cell straight a squared plus straight b squared end cell end table close square brackets

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