Question: Consider the set S of vectors begin{bmatrix} x_1 x_2 end{bmatrix} in mathbb{R}^2 that satisfy the equations begin{array} {rcl} x_1+5x_2 &=& 0 -3x_1-15x_2 &=& 0

Consider the set S of vectors \begin{bmatrix} x_1 \\ x_2 \end{bmatrix} in \mathbb{R}^2 that satisfy the equations \begin{array} {rcl} x_1+5x_2 &=& 0\\ -3x_1-15x_2 &=& 0 \end{array} Is the set S a subspace? Yes or no

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