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

Consider the matrix `A=[[3,1],[-1,2]]`
Find `A^2`

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MAXIMUM PUBLICATION-MATRICES-EXAMPLE
  1. Let A=[[2,4],[-1,1]] Apply elementary transformation R1rarrR1/2 in t...

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  2. Let A=[[2,4],[-1,1]] Find the inverse of A by elementary transformat...

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

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  4. Consider the matrix A=[[3,1],[-1,2]] Find k so that A^2=kA-7I

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  5. Consider a 2xx2 matrix A=[a(ij)] where a(ij)=abs(2i-3j) Write A

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  6. Consider a 2xx2 matrix A=[a(ij)] where a(ij)=abs(2i-3j) Find A+A...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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