Solving a Matrix Vector Equation

Question

The matrix $$\begin{bmatrix} 3 & -2 \ 1 & 4 \end{bmatrix}$$ represents a linear transformation that maps the vector $$\begin{bmatrix} x \ y \end{bmatrix}$$ to the vector $$\begin{bmatrix} 7 \ 5 \end{bmatrix}$$. What are the values of $$x$$ and $$y$$?

Accepted Answer

$$x = \frac{19}{7}, y = \frac{4}{7}$$

Answer

$$x = 4, y = 1$$

Answer

$$x = 1, y = 4$$

Answer

$$x = 2, y = 3$$

Solving a Matrix Vector Equation

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