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. Solve system of linear equations, using matrix method. x - y + 2z = 7 3x + 4y - 5z = -5 2x - y + 3z = 12

. Solve system of linear equations, using matrix method.

x - y + 2z = 7
3x + 4y - 5z = -5
2x - y + 3z = 12

Grade:

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
7 years ago
Hello student,
Please find the answer to your question below
writing given equations in the form of matrix we get
AX=B
\begin{bmatrix} 1 & -1& 2\\ 3& 4&-5 \\ 2&-1 &3 \end{bmatrix}\begin{bmatrix} x\\ y\\ z \end{bmatrix}=\begin{bmatrix} 7\\-5 \\ 12\end{bmatrix}
\begin{bmatrix} x\\ y\\ z \end{bmatrix}=1/4\begin{bmatrix} 7 & 1&-3 \\ -19& -1 & 11\\ -11& -1 &7 \end{bmatrix}\begin{bmatrix} 7\\-5 \\ 12\end{bmatrix}
on solving we get x=2,y=1 and z=3
Hence the system of equations is consistent and has a unique solution


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