IMathAS-libretexts

A basis for the nullspace of

\displaystyle {A}={\left[\begin{array}{ccc} -{6}&{9}&{3}\\-{10}&{15}&{5}\end{array}\right]}

has the form

\displaystyle {\left[\begin{array}{c} {i}\\{1}\\{0}\end{array}\right]}+{\left[\begin{array}{c} {j}\\{0}\\{1}\end{array}\right]}

. Determine

\displaystyle {i}

and

\displaystyle {j}

\displaystyle {i}

\displaystyle {j}