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Using properties of determinants prove t...

Using properties of determinants prove the
following.
`abs[[1,a,bc],[1,b,ca],[1,c,ab]]=(a-b)(b-c)(c-a)`

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Using properties of determinants prove the following. abs[[b+c,a,a],[b,c+a,b],[c,c,a+b]]=4abc

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Show that abs[[1,a,a^2],[1,b,b^2],[1,c,c^2]]=(a-b)(b-c)(c-a)

Using properties of determinants, show that abs[[a,a^2,b+c],[b,b^2,c+a],[c,c^2,a+b]]=(b-c)(c-a)(a-b)(a+b+c)

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MAXIMUM PUBLICATION-DETERMINANTS-EXAMPLE
  1. If [[2,5],[-3,7]]xxA=[[17,-1],[47,-13]] then Find A^2.

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  2. Prove that abs[[1!,2!,3!],[2!,3!,4!],[3!,4!,5!]]=4!

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  3. Using properties of determinants prove the following. abs[[1,a,bc]...

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  4. Using properties of determinants prove the following. abs[[1,1,1],...

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  5. Using properties of determinants prove the following. abs[[1,x,x^2...

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  6. Consider the matrix A=[[2,5],[3,2]] Find adj(A)

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  7. Consider the matrix A=[[2,5],[3,2]] Find A^-1

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  8. Consider the matrix A=[[2,5],[3,2]] Using A^-1 solve the system of l...

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  9. Consider the matrix A=[[a,b,c],[b,c,a],[c,a,b]] Using the column ope...

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  10. Consider the matrix A=[[a,b,c],[b,c,a],[c,a,b]] show that abs[A]=-(a...

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  11. Consider the matrix A=[[a,b,c],[b,c,a],[c,a,b]] Find Axxadj(A) if a=...

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  12. If A=[[1,1,5],[0,1,3],[0,-1,-2]] what is the value of abs[3A]?

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  13. Find the equation of the line joining the points(1,2) and (-3,-2) us...

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  14. Show that abs[[1,a,a^2],[1,b,b^2],[1,c,c^2]]=(a-b)(b-c)(c-a)

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  15. Consider the following system of linear equations, x+y+z=6,x-y+z=2, ...

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  16. Consider the following system of linear equations, x+y+z=6,x-y+z=2, ...

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  17. Consider the following system of linear equations, x+y+z=6,x-y+z=2, ...

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  18. If abs[[x,3],[5,2]]=5,then x=…..

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  19. Prove that abs[[y+k,y,y],[y,y+k,y],[y,y,y+k]]=k^2(3y+k)

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  20. Solve the following system of linear Equations,using matrix method, ...

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