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If P = [ x 0 0 0 y 0 0 0 z ]   a n d   Q = [ a 0 0 0 b 0 0 0 c ] ,   prove that P Q =   [ x a 0 0 0 y b 0 0 0 z c ] = Q P .

0 3 Views | Posted 3 months ago
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    Answered by

    Payal Gupta | Contributor-Level 10

    3 months ago

    This is a short answer type question as classified in NCERT Exemplar

    G i v e n     t h a t :         P = [ x 0 0 0 y 0 0 0 z ]     a n d     Q = [ a 0 0 0 b 0 0 0 c ]                                                     P Q = [ x 0 0 0 y 0 0 0 z ] [ a 0 0 0 b 0 0 0 c ]                                                                         = [ x a + 0 + 0 0 + 0 + 0 0 + 0 + 0 0 + 0 + 0 0 + y b + 0 0 + 0 + 0 0 + 0 + 0 0 + 0 + 0 0 + 0 + z c ]                                                                           = [ x a 0 0 0 y b 0 0 0 z c ] N o w ,                                       Q P = [ a 0 0 0 b 0 0 0 c ] [ x 0 0 0 y 0 0 0 z ]                                                                         = [ x a + 0 + 0 0 + 0 + 0 0 + 0 + 0 0 + 0 + 0 0 + y b + 0 0 + 0 + 0 0 + 0 + 0 0 + 0 + 0 0 + 0 + z c ]                                                                           = [ x a 0 0 0 y b 0 0 0 z c ] H e n c e ,     P Q = Q P .

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