Matrix Algebra Problem?

If you know matrix B is 3x2 and you know matrix C is 2x2 how do you find matrix A such that AB=C?

I have the matrices for B and C and dont know how to find matrix A?

Comments

  • The order of A must be 2x3

    (since multiplication of 2x3 and 3x2 gives 2x2 matrix)

    So create a matrix with variables (a,b,c..) and multiply it with B and then equate it to values of C.

  • In an augmented matrix, in any row, the entries before the vertical bar will mean the coefficients of the variables; the vertical bar means equals; and the right area will only be constants. (Separate rows mean separated equations). With this in recommendations, the device of equations linked with this augmented matrix is x + 3y = 5 y = 2 "decrease back-substitution" means substituting y into the first equation to discover x: x + 3(2) = 5 x + 6 = 5 x = -a million. So the answer's (x, y) = (-a million, 2).

  • Let A= mx3

    then AB =( mx3)(3x2) =mx2 =2x2

    therefore m=2

    Hence a = 2x3.......................Ans

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