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If A=[[3,1],[-1,2]] then Hence show th...

If `A=[[3,1],[-1,2]]` then
Hence show that `A^2-5A+7I=0`

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MAXIMUM PUBLICATION-MATRICES-EXAMPLE
  1. Consider a 2xx2 matrix A=[a(ij)] where a(ij)=abs(2i-3j) Find A+A...

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

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  3. If A=[[3,1],[-1,2]] then Hence show that A^2-5A+7I=0

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  4. If a matrix A=[[3x,x],[-x,2x]] is a solution of the equation x^2-5x+7=...

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  5. Consider the matrices A=[[1,-2],[-1,3]] and B=[[a,b],[c,d]] If AB=...

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  6. Consider a 2xx2 matrix A=[a(ij)] , where A(ij)=(i+2j)^2/2 Write A

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  7. Consider a 2xx2 matrix A=[a(ij)] , where a(ij)=(i+2j)^2/2 Find A+A^T

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  8. If X+Y=[[7,0],[2,5]] and X-Y=[[3,0],[0,3]] then Find X and Y.

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  9. If X+Y=[[7,0],[2,5]] and X-Y=[[3,0],[0,3]] then Find 2X+Y .

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  10. If A,B are symmetric matrices of same order then AB-BA is always a ………...

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  11. For the matrix A=[[2,4],[5,6]] , verify that A+A^T is a symmetric mat...

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  12. Consider the matrix A=[[3,-2],[4,-2]] Find A^2

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  13. Consider the matrix A=[[3,-2],[4,-2]] find k so that A^2=kA-2I

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  14. find the value of x and y from the equations a[[x,5],[7,y-3]]+[[3,-4...

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  15. Given A=[[1,2],[3,-1],[4,2]] , B=[[-1,4,-5],[2,1,0]] Show that ABneB...

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  16. Find a,b matrix [[0,3,a],[b,0,-2],[5,2,0]] is skew symmetric matrix...

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  17. Express A=[[7,3,-5],[0,1,5],[-2,7,3]] as the sum of a symmetric and a ...

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  18. Consider the matrices A=[[2,-6],[1,2]] and A+3B=[[5,-3],[-2,-1]] F...

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  19. Consider the matrices A=[[2,-6],[1,2]] and A+3B=[[5,-3],[-2,-1]] F...

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  20. Consider the matrices A=[[2,-6],[1,2]] and A+3B=[[5,-3],[-2,-1]] F...

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