1.

Prove the following : [[sinalpha,cosalpha,cos(alpha+delta)],[sinbeta,cosbeta,cos(beta+delta)],[sinalpha,cosgamma,cos(gamma+delta)]]=0

Answer»

Solution :`[[SINALPHA,cosalpha,COS(alpha+delta)],[sinbeta,COSBETA,cos(beta+delta)],[sinalpha,cosgamma,cos(gamma+delta)]]`
`[C_3rarrC_3-(cosdelta)C_2+(sindelta)C_1]`
=`[[sinalpha,cosalpha,cos(alpha+delta)-(cosalphacosdelta-sinalphasindelta)],[sinbeta,cosbeta,cos(beta+delta)-(cosbetacosdelta-sinbetasindelta)],[sinmu,cosgamma,cos(gamma+delta)-(cosgammacosdelta-sinalphasindelta)]]`
=`[[sinalpha,cosalpha,0],[sinbeta,cosbeta,o],[sinalpha,cosalpha,0]]`=0


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