SOLUTION: What is the product of this matrix equation using inverse matrices? [3 -4 x [a = [6 2 1] x b] = 7] (That is supposed to be a 2x2, a 1x1, and another 1x1. I put t

Question 73203: What is the product of this matrix equation using inverse matrices?
[3 -4 x [a = [6
2 1] x b] = 7]
(That is supposed to be a 2x2, a 1x1, and another 1x1. I put the equal and multiplication signs on both top and bottom to make the matrices look a little more aligned.)
Thank you!

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
What is the product of this matrix equation using inverse matrices?
[3 -4] x [a] = [6]
[2 1] x [b] = [7]
----------------
The inverse of the 2x2 is
[3 -4]
[2 1]
------------------
Multiply that 2x2 times
[6]
[7]
to get a=-10; b=19
--------
Cheers,
Stan H>
RELATED QUESTIONS
Elimination using matrices 3p+2r=11 q-7r=4 q-6q=1 I set up my matrix to this 3 (answered by richwmiller)

We know that for scalars (real numbers) if ab = 0 then either a = 0 or b = 0. This is not (answered by KMST)

What is the solution of the matrix equation? [[2 5][3 7]][[x][y]]=[[2][4]] A) (6, -2) (answered by ikleyn)

A^T denotes the transpose of a matrix A. Show that = Tr(B^T,A) defines an inner... (answered by khwang)

Determine whether the product of matrices A and B is defined. If so, give the... (answered by schrammbledeggs)

Find the inverse of the following matrix, the inverse exists. A = [2 1 0] [0 (answered by Fombitz)

Solve the following questions: (a) Find curl of (xyz)i + (xy^2)j + (yz)k? (b) Find... (answered by ikleyn)

I don't know how to format matrices on here, so I will write the top row (horizontal)... (answered by ikleyn)

I've missed a lot of school because I've been sick and I'm trying to get all of my work... (answered by jsmallt9)