Chapter 4: Q50. (page 201)

Use a graphing calculator to find the inverse of each matrix.
50.
$[\begin{matrix} 25 & - 4 \\ - 35 & 6 \end{matrix}]$

Short Answer

Expert verified

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

[\begin{matrix} \frac{3}{5} & \frac{2}{5} \\ \frac{7}{2} & \frac{5}{2} \end{matrix}]

Step by step solution

– 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.

– List the given data

The given matrix is

[\begin{matrix} 25 & - 4 \\ - 35 & 6 \end{matrix}]

– 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]\] $25, - 4, - 35, 6$

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Use a graphing calculator to find the inverse of each matrix.
50.
$[\begin{matrix} 25 & - 4 \\ - 35 & 6 \end{matrix}]$

Short Answer

Step by step solution

– State the concept

– List the given data

– Calculate the inverse

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Use a graphing calculator to find the inverse of each matrix.50. 25-4-356

Short Answer

Step by step solution

– State the concept

– List the given data

– Calculate the inverse

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Statistics

Theoretical and Mathematical Physics

Logic and Functions

Applied Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

Use a graphing calculator to find the inverse of each matrix.
50.
$[\begin{matrix} 25 & - 4 \\ - 35 & 6 \end{matrix}]$