diff --git a/source/linear-algebra/source/02-EV/03.ptx b/source/linear-algebra/source/02-EV/03.ptx index 6ed2eab87..3f8c3f72c 100644 --- a/source/linear-algebra/source/02-EV/03.ptx +++ b/source/linear-algebra/source/02-EV/03.ptx @@ -166,9 +166,13 @@ \left[\begin{array}{c} 4 \\ 5 \\ 6 \end{array}\right] are both solutions to the homogeneous vector equation x_1\vec{v}_1+x_2\vec{v}_2+x_3\vec{v}_3=\vec{0}. This means that - 1 \vec{v}_1+2 \vec{v}_2+3\vec{v}_3 = \vec{0} - \text{ and } - 4 \vec{v}_1+5 \vec{v}_2+6\vec{v}_3 = \vec{0} . + + + 1 \vec{v}_1+2 \vec{v}_2+3\vec{v}_3 \amp = \vec{0} + \amp \amp \text{and} \amp + 4 \vec{v}_1+5 \vec{v}_2+6\vec{v}_3 \amp= \vec{0} + + . Therefore by adding these equations: (1+4) \vec{v}_1+(2+5) \vec{v}_2+(3+6)\vec{v}_3= \vec{0},