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Prove the following : [[sinalpha,cosalph...

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

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`[[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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MBD PUBLICATION-DETERMINATES-QUESTION BANK
  1. Prove the following : [[1,bc,a(b+c)],[1,ca,b(c+a)],[1,ab,c(a+b)]]=0

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  2. Prove the following : [[x+4,2x,2x],[2x,x+4,2x],[2x,2x,x+4]]-(5x+4)(4-x...

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  3. Prove the following : [[sinalpha,cosalpha,cos(alpha+delta)],[sinbeta,c...

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  4. Prove the following : [[1,x,x^2],[x^2,1,x],[x,x^2,1]]=(1-x^3)^2

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  5. Prove that the points : (x1,y1),(x2,y2),(x3,y3) are collinear if [[x...

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  6. If A+B+C = pi, prove that [[sin^2A,cotA,1],[sin^2B,cotB,1],[sin^2C,c...

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  7. Eliminate x,y,z from a=x/y-z, b=y/z-x, c=z/x-y

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  8. Given the equations x=cy+bz, y=az+cx and z=bx+ay where x,y and z a...

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  9. If ax+hy+g=0, hx+by+f=0 and gx+fy+c=lamda, find the value of lamda in ...

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  10. Write the number of solution of the following system of equation. x-2y...

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  11. Write the number of solution of the following system of equation. x-y=...

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  12. Write the number of solution of the following system of equation. 2x+y...

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  13. Write the number of solution of the following system of equation. 3x+2...

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  14. Write the number of solution of the following system of equation. 2x+3...

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  15. Write the number of solution of the following system of equation. x+y+...

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  16. Write the number of solution of the following system of equation. x+4y...

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  17. Write the number of solution of the following system of equation.x+y-z...

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  18. Write the number of solution of the following system of equation. a1x+...

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  19. Show that the following system is inconsistent. (a-b)x+(b-c)y+(c-a)z...

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  20. The system of equations x+2y+3z=4 2x+3y+4z=5 3x+4y+5z=6 has

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