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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
10 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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