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irina [24]
3 years ago
12

Which matrix equation represents the system of equations? {-x+ 2y = 0 y= -2

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
6 0

We are given a system of equations,

\begin{cases}-x+2y=0\\y=-2\\ \end{cases}

This will translate into a 2x2 matrix of coefficients (because 2 equations and 2 unknowns),

\begin{bmatrix}-1&2\\0&1\\ \end{bmatrix}

The matrix will then be applied to the vector (lower dimensions on top),

\begin{bmatrix}x\\y\\ \end{bmatrix}

And the result vector will be whats on the other side of equals sign,

\begin{bmatrix}0\\-2\\ \end{bmatrix}

So to put everything together,

\begin{bmatrix}-1&2\\0&1\\ \end{bmatrix}\begin{bmatrix}x\\y\\ \end{bmatrix}=\begin{bmatrix}0\\-2\\ \end{bmatrix}

Hope this helps :)

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