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Linear Algebra: Help Solving a Matrix Equation?

If you have a question that asks:

Solve this matrix equation:

[# #] X = [# # # #]

[# #]        [# # # #]

(Where the # signs are actual integers)

how would I go about solving that equation? Supposedly the answer is actually another matrix. Thanks.

3 Answers

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  • Anonymous
    1 decade ago
    Favorite Answer

    Well I would take the inverse of the first matrix, the 2x2 one, and then multiply it by the matrix on the right hand side.

    If AX=B

    Then X = inv(A) times B

  • datta
    Lv 4
    4 years ago

    no longer between the above explanation: -x+y=-5 2x+y=-8 you will would prefer to subtract the two equations from one yet yet another to do away with a variable, subsequently, the y. you would be left with... -3x=3 Divide via using 3... -x=a million x=-a million then you replace the x interior the 1st equation with -a million... -(-a million)+y=-5 a million+y=-5 Transpose... y=-5-a million y=-6 So, interior the words of (x.y), the respond is (-a million,-6) or no longer between the above.

  • ssssh
    Lv 5
    1 decade ago

    [ 2 5] [x] = [ 15]

    [1 -1] [y] [4]

    (coefficient m)*(variable m) =(constant m)

    A * v = B

    v = A^(-1) * B

    then v = [5]

    [1]

    which means x = 5 and y = 1

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