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If A=[(0,1,-1),(2,1,3),(3,2,1)] then [A(...

If `A=[(0,1,-1),(2,1,3),(3,2,1)]` then `[A(adjA)A^(-1)]A=`

A

`[(6,0,0),(0,6,0),(0,0,6)]`

B

`[(4,0,0),(0,4,0),(0,0,4)]`

C

`[(2,0,0),(0,2,0),(0,0,2)]`

D

I

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A
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AAKASH SERIES-MATRICES -INVERSE OF A MATRIX- EXERCISE - II
  1. If A is a square matrix such that A(AdjA)=((4,0,0),(0,4,0),(0,0,4)) th...

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  2. Let A=[(-1,1,1),(1,-1,1),(1,1,-1)] then |"Adj (Adj A)"|=

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  3. If A=[(0,1,-1),(2,1,3),(3,2,1)] then [A(adjA)A^(-1)]A=

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  4. If A=[(1^(2),2^(2),3^(2)),(2^(2),3^(2),4^(2)),(3^(2),4^(2),5^(2))] the...

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  5. If 3A=[(1,2,2),(2,1,-2),(-2,2,-1)] then A^(-1)=

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  6. If A is non - singular and A^(2)-5A+7I=0 then I =

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  7. If A is non Singular and (A-2I)(A-4I)=0 then 1/6A+4/3A^(-1)=

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  8. A square nonsingular matrix satisfies A^(2)-A+2I=0 then A^(-1)=

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  9. If A!=A^(2)=I then |I+A|=

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  10. If A is a 3xx3 matrix and B is its Adjoint matrix. If the determinent ...

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  11. If A is 4xx4 matrix and |2A|=64,B="Adj A" then |"Adj B"|=

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  12. If A!=I is an idempotent matrix, then A is a

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  13. If A is an orthogonal matrix then |A| is

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  14. If A and B are two square matrices such that B=-A^(-1)BA then (A+B)^(2...

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  15. The value of a third order determinant is 11 then the value of the squ...

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  16. A and B are square matrices of order 3xx3, A is on orthogonal matrix a...

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  17. Which of the following statements is false:

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  18. Let A be 2xx2 matrix. Statement : adj(adjA)=A Statement -2: |adjA|=|A|

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  19. If the product of the matrix B=[(2,6,4),(1,0,1),(-1,1,-1)] with a matr...

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  20. If A is any square matrix of order 'n' Observe the following list {:...

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