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Given A=((2,-3),(-4,7)) compute A^(-1) a...

Given `A=((2,-3),(-4,7))` compute `A^(-1)` and show that `2A^(-1)=9I-A`

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Given =[2-3-47], compute A^(-1) and show that 2A^(-1)=9I-A

If A=[{:(2,-3),(-4,7):}] , compute A^(-1) and show that 2A^(-1)+A-9I=O .

Given A=[{:(2,-3),(-4,7):}] Assertion (A) : 2A^(-1)=9I-A Reason (R ) : A^(-1)=(1)/(|A|)(adjA)

(i) if A=[{:(4,-1,-4),(3,0,-4),(3,-1,-3):}], then show that A^(2)=I

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

If A+I={:[(2,2,3),(3,-1,1),(4,2,2)]:} then show that A^(3)-23A-40I=0

if A=[{:(3,1),(-1,2):}], show that A^(2)-5A+7I=0.

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

If A=[4-1-430-43-1-3], show that A^(2)=I_(3)

If A=[(5,2),(-1,2)] and I=[(1,0),(0,1)] show that : (A-3I)(A-4I)=O

MODERN PUBLICATION-DETERMINANTS-Examples (FREQUENCY ASKED QUESTIONS)
  1. If A and B are invertible matrices of order 3, |A|=2 and |(AB)^(-1)|=-...

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  2. If A=[{:(1,2,3),(2,3,2),(3,3,4):}], find adj.A

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  3. Given A=((2,-3),(-4,7)) compute A^(-1) and show that 2A^(-1)=9I-A

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  4. For the matrix A=[1 1 1 1 2-3 2-1 3] . Show that A^3-6A^2+5A+11\ I3=O ...

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  5. Find the inverse of the matrix : A=[{:(0,1,2),(0,1,1),(1,0,2):}]

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  6. If A=[(1,-2,3),(0,-1,4),(-2,2,1)], find (A')^(-1)

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  7. If A=[2 3 1-4]and B=[1-2-1 3], then verify that (A B)^(-1)=B^(-1)A^(-1...

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  8. If A=[{:(1,3,3),(1,4,3),(1,3,4):}], verify A.(adj.A)=|A|I and find A^(...

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  9. Find the inverse of each of the matrices given below : Computer (A...

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  10. Find A^(-1) if A=|(0,1,1),(1,0,1),(1,1,0)| and show that A^(-1)=(A^(2)...

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  11. x+2y=9 2x+4y=7

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  12. Solve the following system of equations by matrix method : 3x-4y=5 a...

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  13. Using matrices, solve the following system of equations: 4x+3y+3z=6...

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  14. Solve the following system of equations by matrix method : x+y-2=3...

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  15. Using elementary transformations, find the inverse of the matrix A=(8 ...

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  16. If A=[[2,3,4],[1,-1,0],[0,1,2]], find A^(-1). Hence, solve the system...

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  17. If A=[{:(2,3,10),(4,-6,5),(6,9,-20):}], find A^(-1). Using A^(-1), sol...

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  18. Use product [{:(1,-1,2),(0,2,-3),(3,-2,4):}][{:(-2,0,1),(9,2,-3),(6,1,...

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  19. Solve, using matrices : 2x-y+3z=5, 3x+2y-z=7 and 4x+5y-5z=9

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  20. Solve the following systems of linear homogenous equations : 2x+y-3z...

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