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If A=[[3 ,1],[-1, 2]] , show that A^2-5A...

If `A=[[3 ,1],[-1, 2]]` , show that `A^2-5A+7I^2=O` .

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

If A=[[3, 1],[-1 ,2]] , show that A^2-5A+7I=O . Use this to find A^4

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

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

If A=[(2, 3),(-1 ,0)] , show that A^2-2A+3I^2=O .

If A=[[4, 2],[-1, 1]] , prove that (A-2I)(A-3I)=O .

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(i) if A=[{:(1,-1),(2,3):}], then show that A^(2)-4A+5I=O. (ii) if f(x)=x^(2)+3x-5and A=[{:(2,-1),(4,3):}], then find f(A).

If A=[(1,2),(2,1)] show that A^(2)-3I=2A

If A=[{:(1,-1),(2,3):}] , shown that A^(2)-4A+5I=o . Hence Find A^(-1) .

RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
  1. If A=[ (3,-2),( 4 ,-2) ] and I=[(1,0),(0,1)] , then prove that A^2-A+2...

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  2. If A=[[3 ,1],[-1 ,2]] and I=[[1, 0],[ 0, 1]] , then find lambda so tha...

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

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  4. If A=[(2, 3),(-1 ,0)] , show that A^2-2A+3I^2=O .

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  5. Show that the matrix A=[(2, 3), (1, 2)] satisfies the equation A^3-4A...

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  6. Show that the matrix A=[(5, 3), (12 ,7)] then show A^2-12 A-I=O .

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  7. If A=[(3,-5),(-4, 2)] , find A^2-5A-14 Idot

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  8. If A=[[3, 1],[-1 ,2]] , show that A^2-5A+7I=O . Use this to find A^4

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  9. If A=[(3,-2) ,(4,-2)] , find k such that A^2-k A-2I^2=O .

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  10. If A=[(1, 0),(-1 ,7)] , find k such that A^2-8A+k I=O .

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  11. If A=[(1 ,2 ),(2, 1)] and f(x)=x^2-2x-3 , show that f(A)=O .

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  12. Find dy/dx if logy=5x^2

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  13. Find the value of x for which the matrix product [(2, 0, 7),( 0, ...

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  14. Solve the matrix equations: [(x,1)][(1, 0),(-2,-3)][(x,5)]=0

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  15. Solve the matrix equations: [2x\ \ 3][(1, 2),(-3, 0)][(x),(8)]=0

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  16. If A=[(1, 2, 0 ),(3,-4, 5),( 0,-1, 3)] , compute A^2-4A+3I .

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  17. If f(x)=x^2-2x , find f(A), where A=[(0, 1, 2),( 4 ,5, 0 ),(0, 2 ,3)...

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  18. If f(x)=x^3+4x^2-x , find f(A) , where A=[(0 ,1, 2 ),(2,-3 ,0),( 1,-...

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  19. If A=[1 0 2 0 2 1 2 0 3] , then show that A is a root of the polyno...

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  20. If A=[(1, 2 ,2 ),(2 ,1 ,2),( 2 ,2, 1)] , then prove that A^2-4A-5I=O ...

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