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If A=[[1,-1,1],[2,-1,0],[1,0,0]], Show...

If `A=[[1,-1,1],[2,-1,0],[1,0,0]]`,
Show that `A^2=A^-1`

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MAXIMUM PUBLICATION-DETERMINANTS-EXAMPLE
  1. If A=[[2,3],[1,-2]] and A^-1=kA,then the value of 'k' is

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  2. If A=[[1,-1,1],[2,-1,0],[1,0,0]], Find A^2

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  3. If A=[[1,-1,1],[2,-1,0],[1,0,0]], Show that A^2=A^-1

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  4. Arjun' purchased 3 pens,2 purses and 1 instrument box and pays Rs. 410...

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  5. Arjun' purchased 3 pens,2 purses and 1 instrument box and pays Rs. 4...

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  6. If A=[[2,-3,5],[3,2,-4],[1,1,-2]] Find A^-1

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  7. If A=[[2,-3,5],[3,2,-4],[1,1,-2]] Using it solve the system of equat...

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  8. Consider the following system of equations x+y+3z=5 x+3y-3z=1 -2...

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  9. Consider the following system of equations x+y+3z=5 x+3y-3z=1 -2...

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  10. Consider the following system of equations x+y+3z=5 x+3y-3z=1 -2...

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  11. Solve the following system of equations by matrix method x+2y+5z=1...

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  12. If A=[[3,-2,3],[2,1,-1],[4,-3,2]] Find abs[A]

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  13. If A=[[3,-2,3],[2,1,-1],[4,-3,2]] Find A^-1

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  14. If A=[[3,-2,3],[2,1,-1],[4,-3,2]] Solve the linear equations 3x-2y...

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  15. If [[2,5],[-3,7]]xxA=[[17,-1],[47,-13]] then Find the 2x2 matrix A.

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

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

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

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

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

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