Mathematics, 25.12.2019 07:31, natalie2sheffield
Let a1equals[start 3 by 1 matrix 1st row 1st column 1 2nd row 1st column 2 3rd row 1st column negative 1 endmatrix ], a2equals[start 3 by 1 matrix 1st row 1st column negative 7 2nd row 1st column negative 7 3rd row 1st column 2 endmatrix ], and bequals[start 3 by 1 matrix 1st row 1st column 3 2nd row 1st column negative 22 3rd row 1st column h endmatrix ]. for what value(s) of h is b in the plane spanned by a1 and a2?
Answers: 2
![a1= \left[\begin{array}{c}1\\2\\-1\end{array}\right] \\a2 = \left[\begin{array}{c}-7\\-7\\2\end{array}\right] \\\\b = \left[\begin{array}{c}3\\-22\\h\end{array}\right]](/tpl/images/0432/7088/72a4f.png)
![\left[\begin{array}{cc|c}1&-7&3\\2&-7&-22\\-1&2&h\end{array}\right]](/tpl/images/0432/7088/c244f.png)
![R_{2} - 2R_{1} , R_{3} + R_{1}\\\\\left[\begin{array}{cc|c}1&-7&3\\0&7&-28\\-0&-5&h+3\end{array}\right]\\\\7R_{3}+5R_{2}\\\\\left[\begin{array}{cc|c}1&-7&3\\0&7&-28\\-0&0&7h-175\end{array}\right]](/tpl/images/0432/7088/f58f1.png)
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