richiesmasher
Junior Member
- Joined
- Dec 15, 2017
- Messages
- 111
Hello, I have two matrices here, A
{2 3}
-4 5
AND B,
{-5 -7}
::2 1
I have determined the inverse of B to be
{1/9 7/9}
- 2/9 - 5/9
and the Identity matrix of B to be
{1 0}
0 1
Now the question says: Solve the following equation for the unknown values of X and Y
[(AB) B^-1] {x} = { 20}
:::::::::::::: 8 ::::::6y
After multiplying the entire left side I have obtained: { 2x + 24} = {20}
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: -3x + 40 ::::::6y
Now I've been reading about matrix equations, and apparently I need the coefficient matrix, the variable matrix, and the constant matrix.
My problem with this is that I don't have a value for Y on the left side, so when I try to get the coefficient matrix, I'm simply getting x, and its all downhill from there I'm not sure what to do at this point, can someone guide me please?
Please ignore the colons, it's just so I could space the matrices
{2 3}
-4 5
AND B,
{-5 -7}
::2 1
I have determined the inverse of B to be
{1/9 7/9}
- 2/9 - 5/9
and the Identity matrix of B to be
{1 0}
0 1
Now the question says: Solve the following equation for the unknown values of X and Y
[(AB) B^-1] {x} = { 20}
:::::::::::::: 8 ::::::6y
After multiplying the entire left side I have obtained: { 2x + 24} = {20}
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: -3x + 40 ::::::6y
Now I've been reading about matrix equations, and apparently I need the coefficient matrix, the variable matrix, and the constant matrix.
My problem with this is that I don't have a value for Y on the left side, so when I try to get the coefficient matrix, I'm simply getting x, and its all downhill from there I'm not sure what to do at this point, can someone guide me please?
Please ignore the colons, it's just so I could space the matrices
Last edited: