Question

Use the matrix calculator to solve this linear system for cost per hour of each machine. 100x1 + 130x2 + 16x3 = 3,528 120x1 + 180x2 + 28x3 = 4,864 160x1 + 190x2 + 10x3 = 4,920 x1 = x2 = x3 =

Answer 1

• x1 = 10
• x2 = 16
• x3 = 28

Explanation:

You want the given equations solved using a matrix calculator.

• 100x1 + 130x2 + 16x3 = 3,528
• 120x1 + 180x2 + 28x3 = 4,864
• 160x1 + 190x2 + 10x3 = 4,920

Calculator

Many calculators offer a variety of matrix functions that will solve these equations. Perhaps the most straightforward is the RREF function, which manipulates the augmented coefficient matrix to reduced row-echelon form. In this form the rightmost column is the solution vector.

• x1 = 10
• x2 = 16
• x3 = 28

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