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if for any 2*2 square matrix A , A(adjA)...

if for any `2*2` square matrix A , `A(adjA)=[[8 , 0] , [0 , 8]]` then write the value of `det.A`

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Knowledge Check

  • For a invertible matrix A, if A(adjA)=[[10, 0], [0, 10]] , then |A|=

    A
    `100`
    B
    `-100`
    C
    `10`
    D
    `-10`

  • For any 2XX2 matrix A,if A (adjA) =[(10,0),(0,10)] , then |A| is equal to

    A
    0
    B
    10
    C
    20
    D
    100

  • If A is a square matrix, then adj(A')-(adjA)'=

    A
    `I`
    B
    `0`
    C
    `2(adjA)`
    D
    `2(adjA')`
    • XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
    1. if for any 2*2 square matrix A , A(adjA)=[[8 , 0] , [0 , 8]] then writ...

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    2. If A is a 3 × 3 invertible matrix, then what will be the value of k if...

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    3. Determine the value of the constant k, so that the function f(x) ={(kx...

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    4. Evaluate int2^3 3^x dx

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    5. If a line makes angle 90o , 60o and 30o with the positive direct...

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    6. Show that the elements on the main diagonal of a skew-symmetric matrix...

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    7. Find the distance between the parallel planes 2x-y+2z+3=0a n d4x-2y+4z...

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    8. Find (dy)/(dx) at x=1, y=pi/4 if sin^2 y+cos xy=k

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    9. The volume of a sphere is increasing at the rate of 3 cubic centimeter...

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    10. Show that the functionf(x) = 4x^3-18x^2+ 27x – 7 is always increasing ...

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    11. Find the vector equation of the line passing through the point A(1, 2,...

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    12. If A is a skew-symmetric matrix of order 3, then prove that det A = 0...

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    13. Prove that if E and F are independent events, then so are the events E...

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    14. A small firm manufactures necklaces and bracelets. The total number of...

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    15. int1/(x^2-4x+8)dx

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    16. Prove that tan(pi/4+1/2 cos^-1(a/b))+tan(pi/4-1/2 cos^-1(a/b))=(2b)/a

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    17. Using properties of determinants, prove the following |[x,x+y,x+2y],[x...

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    18. Find the value of c in Rolle’s theorem for the function f(x) = x^3– 3...

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    19. Differentiate the function (sin x)^x+ sin^(-1) sqrtx with respect to...

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    20. The volume of a cube is increasing at the rate of 9cm3/sec. How fas...

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