Mathematics, 16.06.2020 19:57, emilyblaxton
Use the given inverse to solve the system of equations. left brace Start 3 By 3 Matrix 1st Row 1st Column x minus y plus z 2nd Column equals 3rd Column negative 6 2nd Row 1st Column 2 y plus z 2nd Column equals 3rd Column negative 6 3rd Row 1st Column 3 x minus 8 y 2nd Column equals 3rd Column negative one half EndMatrix The inverse of left bracket Start 3 By 3 Matrix 1st Row 1st Column 1 2nd Column negative 1 3rd Column 1 2nd Row 1st Column 0 2nd Column 2 3rd Column 1 3rd Row 1st Column 3 2nd Column negative 8 3rd Column 0 EndMatrix right bracket is left bracket Start 3 By 3 Matrix 1st Row 1st Column negative 8 2nd Column 8 3rd Column 3 2nd Row 1st Column negative3 2nd Column 3 3rd Column 1 3rd Row 1st Column 6 2nd Column negative 5 3rd Column negative 2 EndMatrix right bracket .
Answers: 3
![\left[\begin{array}{ccc}1&-1&1\\0&2&1\\3&-8&0\end{array}\right] is \left[\begin{array}{ccc}-8&8&3\\-3&3&1\\6&-5&-2\end{array}\right]](/tpl/images/0687/0728/fcd60.png)
![\left[\begin{array}{c}x\\y\\z\end{array}\right] =](/tpl/images/0687/0728/63554.png)
![\left[\begin{array}{ccc}-8&8&3\\-3&3&1\\6&-5&-2\end{array}\right] =](/tpl/images/0687/0728/f3faf.png)
![\left[\begin{array}{ccc}-6\\ -6\\- \dfrac{1}{2}\end{array}\right]](/tpl/images/0687/0728/4c0e9.png)
![\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(-8*-6)+(8*-6)+(3*-\dfrac{1}{2})\\(-3*-6)+(3*-6)+(1*-\dfrac{1}{2})\\(6*-6)+(5*-6)+(-2* - \dfrac{1}{2})\end{array}\right]](/tpl/images/0687/0728/63ba6.png)
![\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(48)+(-48)+(\dfrac{-3}{2})\\(18)+(-18)+(\dfrac{-1}{2})\\(-36)+(30)+(1)\end{array}\right]](/tpl/images/0687/0728/a88a6.png)
![\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(\dfrac{-3}{2})\\(\dfrac{-1}{2})\\(-5)\end{array}\right]](/tpl/images/0687/0728/4f8e8.png)
![\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}-1.5\\-0.5\\ -5\end{array}\right]](/tpl/images/0687/0728/b1689.png)
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Use the given inverse to solve the system of equations. left brace Start 3 By 3 Matrix 1st Row 1st C...
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