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Using properties of determinants prove ...

Using properties of determinants prove
`abs[[x,y,x+y],[y,x+y,x],[x+y,x,y]]=-2(x^3+y^3)`

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MAXIMUM PUBLICATION-DETERMINANTS-EXAMPLE
  1. Using properties of determinants prove abs[[x,y,x+y],[y,x+y,x],[x+y,...

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  2. If a,b,c are real numbers and abs[[b+c,c+a,a+b],[c+a,a+b,b+c],[a+b,b+...

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  3. solve using properties of determinants. abs[[2x-1,x+7,x+4],[x,6,2],[...

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  4. If abs[[3,x],[x,x]]=abs[[-2,2],[4,1]],find the value of x.

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  5. A=[[1,-3,1],[2,0,4],[1,2,-2]] Calculateabs[A]

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  6. A=[[1,-3,1],[2,0,4],[1,2,-2]] Show that AxxadjA=abs[A]I

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  7. A=[[1,-3,1],[2,0,4],[1,2,-2]] Find abs[3A]

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  8. Using properties of determinants prove the following. abs[[a-b-c,...

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  9. Using properties of determinants prove the following. abs[[b+c,a,...

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  10. Ifabs[[1,-3,2],[4,-1,2],[3,5,2]]=40,thenabs[[1,4,3],[-3,-1,5],[2,2,2]]...

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  11. Calculate abs[[3,-3,2],[12,-1,2],[9,5,2]]=

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  12. Show that Delta=abs[[-a^2,ab,ac],[ba,-b^2,bc],[ac,bc,-c^2]]=4a^2b^2c^2

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  13. Find x if abs[[2,4],[5,1]]=abs[[2x,4],[6,x]]

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  14. S.Tabs[[x+a,b,c],[a,x+b,c],[a,b,x+c]]=x^2(x+a+b+c)

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  15. Prove that abs[[(b+c)^2,a^2,a^2],[b^2,(c+a)^2,b^2],[c^2,c^2,(a+b)^2]] ...

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  16. Let the value of a determinant is Delta. Then the value of a determi...

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  17. Show that abs[[a+b,b+c,c+a],[b+c,c+a,a+b],[c+a,a+b,b+c]]=2abs[[a,b,c],...

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  18. Test the consistency 3x-y-2z=2,2y-z=-1,3x-5y=3

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  19. Consider the system of equations 2x-3y=7 and 3x+4y=5 Express the s...

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  20. Consider the system of equations 2x-3y=7 and 3x+4y=5 Find adjA

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