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Solve the following : [[2,2,x],[-1,x,4],...

Solve the following : `[[2,2,x],[-1,x,4],[1,1,1]]`=0

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`[[2,2,x],[-1,x,4],[1,1,1]]`=0
or, `[[0,2+2x,x+8],[0,x+1,5],[1,1,1]]`=0
(replacing `R_1` and `R_2` by `R_1+2R_2` and `R_2+R_3`)
or, `1xx[[2+2x,x+8],[x+1,5]]`=0
or, `10+10x-x^2-8x-x-8=0`
or, `x^2-2x+x-2=0`
or, (x-2)(x+1)=0
`therefore` x=2,x=-1
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MBD PUBLICATION-DETERMINATES-QUESTION BANK
  1. Solve the following : [[1,4,20],[1,-2,5],[1,2x,5x^2]]=0

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  2. Solve the following : [[x+1,omega,omega^2],[omega,x+omega^2,1],[omega^...

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  3. Solve the following : [[2,2,x],[-1,x,4],[1,1,1]]=0

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  4. Solve the following : [[x,1,3],[1,x,1],[3,6,3]]=0

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  5. Evaluate the following : [[2,3,4],[1,-1,3],[4,1,10]]

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  6. Evaluate the following :[[x,1,2],[y,3,1],[z,2,2]]

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  7. Evaluate the following :[[x,1,-1],[2,y,1],[3,-1,z]]

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  8. Evaluate the following :[[a,h,g],[h,b,f],[g,f,c]]

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  9. Evaluate the following : [[8,-1,-8],[-2,-2,-2],[3,-5,-3]]

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  10. Evaluate the following : [[sin^2theta,cos^2theta,1],[cos^2theta,sin^2t...

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  11. Evaluate the following : [[-1,3,2],[1,3,2],[1,-3,-1]]

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  12. Evaluate the following : [[11,23,31],[12,19,14],[6,9,7]]

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  13. Evaluate the following : [[37,-3,11],[16,2,3],[5,3,-2]]

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  14. Evaluate the following : [[2,-3,4],[-4,2,-3],[11,-15,20]]

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  15. Show that x=1 is a solution of [[x+1,3,5],[2,x+2,5],[2,3,x+4]]=0

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  16. Show that (a+1) is a factor of |[a+1,2,3],[1,a+1,3],[3,-6,a+1]|=0

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  17. Show that [[a1,b1,-c1],[-a2,b2,c2],[a3,b3,-c3]]= [[a1,b1,c1],[a2,b2,...

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  18. Prove that the following. [[a,b,c],[x,y,z],[p,q,r]]=[[y,b,q],[x,a,p],[...

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  19. Prove that the following. [[1+a,1,1],[1,1+b,1],[1,1,1+c]] = abc(1+1/...

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  20. Prove that the following. [[b+c,c+a,a+b],[q+r,r+p,p+q],[y+z,z+x,x+y]]=...

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