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Identify which matrix you would multiply both sides by to solve the system of equations

Identify which matrix you would multiply both sides by to solve the system of equations-example-1
User FFox
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1 Answer

18 votes
18 votes

Solution

Step 1

Write the given matrix


\begin{bmatrix}{6} & {3} \\ {8} & {4}\end{bmatrix}\begin{bmatrix}{x} & {} \\ {y} & {}\end{bmatrix}=\begin{bmatrix}{9} & {} \\ {12} & {}\end{bmatrix}

Step 2

Find the inverse of


\begin{gathered} \begin{bmatrix}{6} & {3} \\ {8} & {4}\end{bmatrix} \\ \\ Inverse\text{ = }(Adjoint)/(determiant) \\ determinant\text{ = 6}*4\text{ - 8}*3\text{ = 24 - 24 = 0} \\ \\ Since\text{ the determinant is zero, hence the matrix has no inverse.} \end{gathered}

Final answer

Not possible

User Darling
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