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For the matrix A=[{:(,3,2),(,1,1):}] Fin...

For the matrix `A=[{:(,3,2),(,1,1):}]` Find a & b so that `A^(2)+aA+bI=0`. Hence find `A^(-1)`

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The correct Answer is:
`a=-4, b=1, A^(-1)=[(1,-2),(-1,3)]`
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MOTION-MATRICES -Exercise - 3(Subjective - type Questions)
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  2. (i) Prove that (adj adj A) = |A|^(n – 2) A (ii) Find the value of |...

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  3. For the matrix A=[{:(,3,2),(,1,1):}] Find a & b so that A^(2)+aA+bI=0....

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  4. If A-^1=[3-1 1-15 6-5 5-2 2] and B=[1 2-2-1 3 0 0-2 1] , find (A B)^(-...

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  5. If {1/2(A-A'+1)}^-1=2/lambda[(lambda-13,-lambda/3,lambda/3),(-17,10,-...

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  6. Given A=[[2,0,-alpha],[5,alpha,0],[0,alpha,3]] For a in R-{a, b}, A^(-...

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  7. Compute A^(-1) for the following matrix A=[(-1,2,5),(2,-3,1),(-1,1,1)...

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  8. For the matrix A=[(4,-4,5),(-2,3,-3),(3,-3,4)] find A^(-2) .

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  13. Find the number of 2xx2 matrix satisfying (i) aij is 1 or -1 (ii) ...

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  15. If the matrices A=[(1,2),(3,4)] and B=[(a,b),(c,d)] (a,b,cd not all si...

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  16. If [a b c1-a] is an idempotent matrix and f(x)=x-^2=b c=1//4 , then th...

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  17. If the matrix A is involutary, show that (1)/(2)(I+A) and (1)/(2)(I-A)...

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  19. Use matrix to solve the following system of equations. x+y+z=3 x+...

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