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Let A=[[3,1],[-1,2]] Show that A^2-5A+...

Let `A=[[3,1],[-1,2]]`
Show that `A^2-5A+7I=0`

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If A = [[3,1],[-1,2]] ,show that A^2-5A + 7I=0 Hence, find A^(-1)

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MAXIMUM PUBLICATION-MATRICES-EXAMPLE
  1. If A=[[-2],[4],[5]] B=[[1,3,6]] (AB)^T=B^TA^T

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  2. Let A=[[3,1],[-1,2]] Find A^2

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  3. Let A=[[3,1],[-1,2]] Show that A^2-5A+7I=0

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  4. Let A=[[3,1],[-1,2]] find A^-1

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  5. Let A=[[3,1],[-1,2]] Solve the following equation using matrix : 3x+...

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  6. A=[[1,2,3],[3,-2,1],[4,2,1]] Show that A^3-23A-40I=0

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  7. A=[[1,2,3],[3,-2,1],[4,2,1]] A^-1

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  8. A is a third order square matrix and a(ij)={(-i,+,2j,if,i,=,j),(i,x...

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  9. A is a third order square matrix and a(ij)={(-i,+,2j,if,i,=,j),(i,x...

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  10. A is a third order square matrix and a(ij)={(-i,+,2j,if,i,=,j),(i,x...

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  11. Find X and Y if X+Y=[[7,0],[2,5]] and X-Y=[[3,0],[0,3]]

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  12. Find X and Y if 2X+3Y=[[2,3],[4,0]] and 3X+2Y=[[-2,2],[-1,5]]

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  13. Find X if Y=[[3,2],[1,4]] 2X+Y=[[1,0],[-3,2]]

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  14. Given that A+B=[[2,5],[7,8]] and A-B=[[6,8],[4,3]] Find 2A.

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  15. Given that A+B=[[2,5],[7,8]] and A-B=[[6,8],[4,3]] Find A^2-B^2 .

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  16. Given that A+B=[[2,5],[7,8]] and A-B=[[6,8],[4,3]] find (A+B)(A-B)

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  17. Consider A=[[1,x,1]],B=[[1,3,2,],[2,5,1,],[15,3,2,]],C=[(1),(2),(x)...

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  18. Consider A=[[1,x,1]],B=[[1,3,2,],[2,5,1,],[15,3,2,]],C=[(1),(2),(x)...

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  19. Write A as the sum of a symmetric and a skew symmetric matrix. A=[[1,4...

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  20. Consider the matrix A=[[2,1,3],[2,3,1],[1,1,1]] B=[[-1,2,3],[-2,3,1]...

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