Let W be the subset of R^{3} defined by
W = {x: x = \left[\begin{array}{l}x_{1} \\x_{2} \\x_{3}\end{array}\right], x_{2}=2 x_{1}, x_{3}=3 x_{1}, x_{1} any real number}.
Verify that W is a subspace of R^{3} and give a geometric interpretation of W.
Let W be the subset of R^{3} defined by
W = {x: x = \left[\begin{array}{l}x_{1} \\x_{2} \\x_{3}\end{array}\right], x_{2}=2 x_{1}, x_{3}=3 x_{1}, x_{1} any real number}.
Verify that W is a subspace of R^{3} and give a geometric interpretation of W.