Mathematics, 23.07.2020 23:01 yddlex
The vector x is in a subspace H with a basis Bequals{Bold b 1,Bold b 2}. Find the B-coordinate vector of x. Bold b 1equals[Start 3 By 1 Matrix 1st Row 1st Column 1 2nd Row 1st Column 2 3rd Row 1st Column negative 3 EndMatrix ], Bold b 2equals[Start 3 By 1 Matrix 1st Row 1st Column negative 4 2nd Row 1st Column negative 7 3rd Row 1st Column 11 EndMatrix ], xequals[Start 3 By 1 Matrix 1st Row 1st Column negative 10 2nd Row 1st Column negative 17 3rd Row 1st Column 27 EndMatrix ]
Answers: 2
![b_{1} = \left[\begin{array}{ccc}1\\2\\-3\end{array}\right]](/tpl/images/0712/0673/9dbaa.png)
, ![b_{2} = \left[\begin{array}{ccc}-4\\-7\\11\end{array}\right]](/tpl/images/0712/0673/16c93.png)
, x = ![\left[\begin{array}{ccc}-10\\-17\\27\end{array}\right]](/tpl/images/0712/0673/a86fc.png)
![\left[\begin{array}{ccc}1&-4&-10\\2&-7&-17\\-3&11&27\end{array}\right]](/tpl/images/0712/0673/17bd5.png)
![\left[\begin{array}{ccc}1&-4&-10\\0&1&3\\0&-1&-3\end{array}\right]](/tpl/images/0712/0673/087a2.png)
= ![\left[\begin{array}{ccc}1&-4&-10\\0&1&3\\0&0&0\end{array}\right]](/tpl/images/0712/0673/ae483.png)
![\left[\begin{array}{ccc}1&0&2\\0&1&3\\0&0&0\end{array}\right]](/tpl/images/0712/0673/3dc0a.png)
![\left[\begin{array}{ccc}x\\y\end{array}\right]](/tpl/images/0712/0673/c0d68.png)
![\left[\begin{array}{ccc}2\\3\end{array}\right]](/tpl/images/0712/0673/de9e8.png)
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The vector x is in a subspace H with a basis Bequals{Bold b 1,Bold b 2}. Find the B-coordinate vecto...
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