Q50. - Algebra 2

Question

Use a graphing calculator to find the inverse of each matrix.

50.

$\left[\begin{array}{cc}\mathbf{25}& -\mathbf{4}\\ -\mathbf{35}& \mathbf{6}\\ & \end{array}\right]$

Step-by-Step Solution

Answer

The inverse of the given matrix, obtained using a graphing calculator is

$\left[\begin{array}{cc}\frac{3}{5}& \frac{2}{5}\\ \frac{7}{2}& \frac{5}{2}\\ & \end{array}\right]$

.

Step 1 – State the concept

The inverse of a matrix can be obtained by using a graphing calculator. This can be achieved by inputting the number of rows and columns and then inputting each element of the matrix row-wise in order.

Step 2 – List the given data

The given matrix is

$\left[\begin{array}{cc}25& -4\\ -35& 6\\ & \end{array}\right]$

.

Step 3 – Calculate the inverse

Inputting the size of the given matrix, that is 2 rows and 2 columns and each element of the matrix row-wise, that is, \[25,-4,-35,6\] in order in a graphing calculator, the inverse of the matrix is obtained as:

 

\[\left[ \begin{matrix}

    \frac{3}{5} & \frac{2}{5}  \\

    \frac{7}{2} & \frac{5}{2}  \\

\end{matrix} \right]\]$25,-4,-35,6$