Q47. - Algebra 2

Question

The$\boxed{x^{-1}}$ key on a Ti-83 Plus is used to find the inverse of a matrix. If you get a SINGULAR MATRIX error on the screen, then the matrix has no inverse.

 

Use a graphing calculator to find inverse of each matrix.

 

$\left[\begin{array}{cc}-11& 9\\ 6& -5\\ & \end{array}\right]$

Step-by-Step Solution

Answer

The required inverse is

$\left[\begin{array}{cc}-5& -9\\ -6& -11\\ & \end{array}\right]$.

Step 1. Enter the matrix in the calculator

Press the$\boxed{\text{2nd}}$ button on the calculator after it press$\boxed{x^{-1}}$ then go to EDIT menu. By selecting the dimensions of matrix as perform the insertion of the provided matrix into the calculator.

$\begin{array}{l}\text{MATRIX}\left[\text{A}\right]3\times 3\\ \left[\begin{array}{cc}-11& 9\\ 6& -5\end{array}\right]\end{array}$

Step 2. Calculate the inverse

Press the   $\boxed{\text{2nd}}$button after the appearance of home screen by pressing $\boxed{\text{2nd}}$ button and MODE button. Select the matrix $\left[\text{A}\right]$and press$\boxed{x^{-1}}$ to get the inverse of the matrix.

 $\left[\begin{array}{cc}-5& -9\\ -6& -11\end{array}\right]$

Step 3. Make the conclusion

As the obtained matrix contains the values of provided matrix so obtained inverse is correct.