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If |(a^(2)+lamda^(2),ab+clamda,ca-blamda),(ab-clamda,b^(2)+lamda^(2),bc+alamda),(ca+blamda,-bc+alamda, c^(2)+lamda^(2))||(lamda,c,-b),(-c,lamda,a),(b,-a,lamda)|=(1+a^(2)+b^(2)+c^(2))^(3), then find the value of lamda. |
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Answer» Hence L.H.S. `=|(lamda, C, -b),(-c, lamda, a),(b, -a, lamda)|^(3)=[lamda(lamda^(2)+a^(2)+b^(2)+c^(2))]^(3)=(1+a^(2)+b^(2)+c^(2))^(2)implieslamda=1` |
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