Home
Class 12
MATHS
Find the matrix A satisfying the matrix ...

Find the matrix `A` satisfying the matrix equation `[[2,1],[ 3, 2]]A[[-3, 2],[ 5,-3]]=[[1, 0 ],[0, 1]]`

Text Solution

AI Generated Solution

To find the matrix \( A \) that satisfies the equation \[ [[2,1],[3,2]]A[[-3,2],[5,-3]]=[[1,0],[0,1]], \] we will follow these steps: ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ADJOINTS AND INVERSE OF MATRIX

    RD SHARMA|Exercise QUESTION|1 Videos

  • ALGEBRA OF MATRICES

    RD SHARMA|Exercise Solved Examples And Exercises|410 Videos

Similar Questions

Explore conceptually related problems

Find the matrix A satisfying the matrix equation: [[2,13,2]]]]-3,25,-3]]=[[1,00,1]]

Find the matrix A satisfying the matrix equation, [(2,1),(3,2)].A.[(3,2),(5,-3)]=[(2,4),(3,-1)].

Knowledge Check

  • The matrix A satisfying the equation [(1,3),(0,1)]A=[(1,1),(0,-1)] is

    A
    `[(1,4),(-1,0)]`
    B
    `[(1,-4),(1,0)]`
    C
    `[(1,4),(0,-1)]`
    D
    None

  • The matrix A satisfying A[[1, 5], [0, 1]]=[[3, -1], [6, 0]] is

    A
    `[[6, -6], [12, 4]]`
    B
    `[[3, -16], [6, -30]]`
    C
    `[[9, -16], [36, -45]]`
    D
    `[[9, 4], [36, 4]]`

  • Matrix of co-factors of the matrix [[1, -1, 2], [-2, 3, 5], [-2, 0, -1]] is

    A
    `[[-3, 12, 6], [1, 3, -2], [-11, 9, 1]]`
    B
    `[[-3, -12, 6], [-1, 3, -1], [-11, -9, 1]]`
    C
    `[[-3, -1, -11], [-12, 3, -9], [6, 2, 1]]`
    D
    `[[-3, -12, 6], [-1, 3, 2], [-11, -9, 1]]`

    • Similar Questions

    Explore conceptually related problems

    Find the inverse of the matrix [{:(-3,2),(5,-3):}] Hence, find the matrix P satisfying the matrix equation : P[{:(-3,2),(5,-3):}]=[{:(1,2),(2,-1):}]

    If A is a 2times2 matrix such that [[2,1],[3,2]] A [[-3,2],[5,-3]]=[[1,0],[0,1]] then the sum of the elements in A is

    If p,q,r are 3 real number satisfying the matrix equation,[pqr][[3,4,13,2,32,0,2]]=[3,0,1]

    Find the additive inverse of matrix [[2,1], [-3, 0]]

    Solve the matrix equation A[[1,2],[3,4]]=[[1,-1],[0,0],[2,3]] using concept of inverse.

    Home
    Profile