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Pls help with theis question

Asked by dakshitak2002 | 05 May, 2020, 07:32: AM

Expert Answer

To prove:-

|0 c b // c 0 a // b a 0|² = |b²+c² ab ac // ab c²+a² bc // ac bc a²+b²|

W e space k n o w space t h a t comma space d e t open parentheses A B close parentheses equals d e t open parentheses A close parentheses space d e t open parentheses B close parentheses space... space left parenthesis i right parenthesis L e t space A equals open square brackets table row 0 c b row c 0 a row b a 0 end table close square brackets open vertical bar table row 0 c b row c 0 a row b a 0 end table close vertical bar equals d e t open parentheses A close parentheses open vertical bar table row 0 c b row c 0 a row b a 0 end table close vertical bar squared equals open square brackets d e t open parentheses A close parentheses close square brackets squared subscript blank U sin g space left parenthesis i right parenthesis open square brackets d e t open parentheses A close parentheses close square brackets squared equals d e t open parentheses A close parentheses space d e t open parentheses A close parentheses equals d e t open parentheses A A close parentheses equals d e t open parentheses A squared close parentheses A squared equals open square brackets table row 0 c b row c 0 a row b a 0 end table close square brackets open square brackets table row 0 c b row c 0 a row b a 0 end table close square brackets equals open square brackets table row cell c squared plus b squared end cell cell a b end cell cell a c end cell row cell a b end cell cell c squared plus a squared end cell cell b c end cell row cell a c end cell cell b c end cell cell b squared plus a squared end cell end table close square brackets equals open square brackets table row cell b squared plus c squared end cell cell a b end cell cell a c end cell row cell a b end cell cell c squared plus a squared end cell cell b c end cell row cell a c end cell cell b c end cell cell a squared plus b squared end cell end table close square brackets H e n c e comma space open vertical bar table row 0 c b row c 0 a row b a 0 end table close vertical bar squared equals open vertical bar table row cell b squared plus c squared end cell cell a b end cell cell a c end cell row cell a b end cell cell c squared plus a squared end cell cell b c end cell row cell a c end cell cell b c end cell cell a squared plus b squared end cell end table close vertical bar

Answered by Renu Varma | 05 May, 2020, 11:37: AM

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