   Chapter 11.3, Problem 47E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# SKILLS 4 7 − 5 2 Solving a Linear System Solve the system of equations by converting to a matrix equation. Use a graphing calculator to perform the necessary matrix operations, as in Example 7. { x + y − 2 z = 3 2 x + 5 z = 11 2 x + 3 y = 12

To determine

To solve:

The system of equations using a graphing calculator.

Explanation

Given:

The linear system is as follows.

{x+y2z=32x +5z=112x+3y =12

Approach:

A system of linear equations can be written in the form of AX=B where A is called the coefficient matrix, B is called the known matrix, and X is called the variable matrix.

If a square matrix A of dimension n×n has an inverse A1, and if X is a variable matrix and B is a known matrix both with n rows, then the solution of the matrix equation AX=B is as follows.

X=A1B.

Calculation:

The system of linear equations can be written as a single matrix equation AX=B as follows:

[xyz]=

Here, A=, B=, and X=[xyz].

The solution of this matrix equation is determined as, X=A1B.

Thus, find the solution using the graphing calculator as below.

In your graphing calculator press the Matrix key and right arrow to Edit on the screen

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