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If A=[(3,1),(-1,2)] . Show that A^2-5A+7...

If `A=[(3,1),(-1,2)]` . Show that `A^2-5A+7I=0`
Hence find `A^4` and `A^-1` .

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BODY BOOKS PUBLICATION-MATRICES-EXERCISE
  1. Given A and B are square matrices of order 2 such that absA=-1, absB=3...

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  2. For the symmetric matrix A=[(2,x,4),(5,3,8),(4,y,9)].Find the value of...

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  3. If A=[(3,1),(-1,2)] . Show that A^2-5A+7I=0 Hence find A^4 and A^-1 ...

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  4. Using elementary row operations, find the inverse of the matrix [[1,...

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  5. Find x and y if x[[2],[3]]+y[[-1],[1]]=[[10],[5]]

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  6. Express the matrix [[2,-2,-4],[-1,3,4],[1,-2,-3]] as the sum of a ...

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  7. The value of k such that matrix [[1,k],[-k,1]] is symmetric if

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  8. If A=[[costheta,sintheta],[-sintheta,costheta]] then prove that A^2...

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  9. If A=[[1,3],[4,1]] , then find abs(3A^T)

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  10. If A=[[0,1],[0,0]] ,B=[[1,0],[0,0]], then BA=

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  11. Write A=[[3,5],[1,-1]] as the sum of a symmetric and a skew symmetric ...

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  12. Find the inverse of A=[[2,-6],[1,-2]]

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  13. Choose the correct statement related to the matrices A=[[1,0],[0,1]]...

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  14. IfM=[[7,5],[2,3]],then verify the equation M^2-10M+11I2=0

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

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  16. Let A=[(2,4),(1,-3)] and B=[(1,-1,5),(0,2,6)] Find AB.

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  17. Let A=[(2,4),(1,-3)] and B=[(1,-1,5),(0,2,6)]Is BA defined? Justify yo...

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

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

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  20. If A is a square matrix such that A^2=A, then (I+A)^2-3A is equal to ...

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