Utilize the inverse matrix method solve the system of linear equations.
{eq}\left\{ \begin{align} & x+y+z=0 \\ & 3x+5y+4z=5 \\ & 3x+6y+5z=2 \\ \end{align} \right. {/eq}
Question:
Utilize the inverse matrix method solve the system of linear equations.
{eq}\left\{ \begin{align} & x+y+z=0 \\ & 3x+5y+4z=5 \\ & 3x+6y+5z=2 \\ \end{align} \right. {/eq}
System of Linear Equations:
The equations can be converted in the matrix form very easily, does not matter how many equations we have. Also, the cofactors used to evaluate the value of the inverse of the matrix formed using the equations can be evaluated using the formula {eq}{A_{ij}} = {\left( { - 1} \right)^{i + j}}{M_{ij}}{/eq} .
Answer and Explanation: 1
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Given:
- The equations are {eq}x + y + z = 0{/eq} , {eq}3x + 5y + 4z = 5{/eq} and {eq}3x + 6y + 5z = 2{/eq} .
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