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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 class=

Sagot :

Solution

Step 1

Write the given matrix

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

Step 2

Find the inverse of

[tex]\begin{gathered} \begin{bmatrix}{6} & {3} \\ {8} & {4}\end{bmatrix} \\ \\ Inverse\text{ = }\frac{Adjoint}{determiant} \\ determinant\text{ = 6}\times4\text{ - 8}\times3\text{ = 24 - 24 = 0} \\ \\ Since\text{ the determinant is zero, hence the matrix has no inverse.} \end{gathered}[/tex]

Final answer

Not possible