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For two 3xx3 matrices A and B, let A+B=...

For two `3xx3` matrices A and B, let `A+B=2B'` and `3A+2B=I_3` where `B'` is the transpose of B and `I_3` is `3xx3` identity matrix, Then:

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Knowledge Check

  • Let A and B are two non - singular matrices of order 3 such that A+B=2I and A^(-1)+B^(-1)=3I , then AB is equal to (where, I is the identity matrix of order 3)

    A
    A
    B
    B
    C
    `(2I)/(3)`
    D
    2I

  • Let A and B be two 3xx3 matrices such that A+B = 2 B' and 3A + 2B= I then

    A
    `A-B=O`
    B
    `A+B=I`
    C
    `A-B=I`
    D
    `A+2B=O`

  • Let A and B be (3 xx 3) matrices with det A = 4 and det B = 3 What is det (2AB) equal to ?

    A
    96
    B
    72
    C
    48
    D
    36

    • Similar Questions

    Explore conceptually related problems

    Let A and B are two non - singular matrices of order 3 such that A+B=2I and A^(-1)+B^(-1)=3I , then AB is equal to (where, I is the identity matrix of order 3)

    Let A,B are two non singular matrices such that AB=BA^(3) and B^(2)=1 and A^(n)=I , (n in N) then minimum value of n is ( I is identity matrix) (A, B!=I)

    If A+ B = C where B and A are matrices of order 3xx3 then the order of matrix C is :

    Let A and B be (3 xx 3) matrices with det A = 4 and det B = 3. What is det (2AB) equal to ?

    A and B arer two matrices of order 3 × 3 which satisfy AB = A and BA = B. then (A+I)^(5) is equal to (where I is identify matrix)___

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