How do I solve for matrix A in the equation y=mx+c?

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The discussion revolves around solving for matrix A in the equation y = mx + c using two line equations, y = -x + 1 and y = 2x + 1, which intersect at a point. The user struggles with understanding how to express the equations in matrix form and how to use the inverse of matrix A to find the intersection point. There is confusion about plotting the intersection and whether to use the original equations or the matrix representation. Participants emphasize the importance of correctly multiplying the inverse of matrix A with matrix B to find the coordinates of the intersection. The conversation highlights the challenges of grasping matrix operations and the need for clear guidance in applying these concepts.
  • #51
A = \begin{bmatrix} 5 & 7 \\ 2 & 3 \end{bmatrix} \to A^{-1} =\frac{1}{ad - bc} \begin{bmatrix} 3 & -7 \\ -2 & 5 \end{bmatrix}

Which is what I wrote? To be honest whoever invented this crap could not have made it more complicated if they tried.

A^{-1} =\frac{1}{ad - bc} is where I go wrong because I get confused on my operators, yes I'm at uni, but I have dyscalculia and have never ever been good at remembering numbers or anything to do with maths. I failed GCSE math and the only reason I'm doing math now is because it's part of my computer science course so I have no option but to learn it.
 
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  • #52
Muphrid said:
Edit, if you want, though, here's another linear system:

\begin{align*} 5x+7y &= -4 \\ 2x - 3y &= 6\end{align*}

The matrix A should be

A = \begin{bmatrix} 5 & 7 \\ 2 & -3 \end{bmatrix}

with the negative sign on the 3.
 
  • #53
Muphrid said:
The matrix A should be

A = \begin{bmatrix} 5 & 7 \\ 2 & -3 \end{bmatrix}

with the negative sign on the 3.


Ohhhh my bad I didn't realize that. anyway this thread has gone on way too long i'll let you go help some other people.

It's a shame it took so long to figure out what I was actually doing wrong I could have spend those 2 days on something else but not to worry still have 2 more days to revise.
 
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