Mathematics, 01.07.2019 02:30 briee998
What is the determinant of the coefficient matrix of the system {-3x+2y-6z=5 {-7x+9y-1z=4 {-2x+5y+2z=9
Answers: 1
![\left[\begin{array}{ccc}-3&2&-6\\-7&9&-1\\-2&5&2\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}5\\4\\9\end{array}\right]](/tpl/images/0037/1177/509bd.png)
![A = \left[\begin{array}{ccc}-3&2&-6\\-7&9&-1\\-2&5&2\end{array}\right]](/tpl/images/0037/1177/7c8ee.png)
![det(A) = -3det\left( \left[\begin{array}{cc}9&-1\\5 & 2\end{array}\right] \right) -2 det\left( \left[\begin{array}{cc}-7&-1\\-2 & 2\end{array}\right] \right) -6 det\left( \left[\begin{array}{cc}-7&9\\-2 & 5\end{array}\right] \right)](/tpl/images/0037/1177/09489.png)
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What is the determinant of the coefficient matrix of the system {-3x+2y-6z=5 {-7x+9y-1z=4 {-2x+5y+2z...
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