Question

Which matrix equation has the solution

Answer 1

`\large\boxed{\left[\begin{array}{ccc}6&5\\5&4\end{array}\right]X=\left[\begin{array}{ccc}3\\4\end{array}\right]  }`

Explanation:

`\text{Substitute:}\\\\\left[\begin{array}{ccc}-6&5\\5&4\end{array}\right] \cdot\left[\begin{array}{ccc}8\\-9\end{array}\right] =\left[\begin{array}{ccc}(-6)(8)+(5)(-9)\\(5)(8)+(4)(-9)\end{array}\right] =\left[\begin{array}{ccc}-93\\4\end{array}\right] \\eq\left[\begin{array}{ccc}3\\4\end{array}\right]`

`\left[\begin{array}{ccc}6&5\\5&4\end{array}\right] \cdot\left[\begin{array}{ccc}8\\-9\end{array}\right] =\left[\begin{array}{ccc}(6)(8)+(5)(-9)\\(5)(8)+(4)(-9)\end{array}\right] =\left[\begin{array}{ccc}3\\4\end{array}\right]\qquad\bold{CORRECT\ :)}`