   Chapter 11.1, Problem 3E ### 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
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# The following matrix is the augumented matrix of a system of linear equations in the variable x, y, and z. (It is given in reduced row-echelon form.) [ 1 0 − 1 3 0 1 2 5 0 0 0 0 ] (a) The leading variables are _____________.(b) Is the system inconsistent or dependent?__________(c) The solution of the system is: x = _ _ _ _ _ _ _ , y = _ _ _ _ _ _ _ _ , z = _ _ _ _ _ _ _ _

To determine

(a)

To find:

The leading variables in the augmented matrix .

Explanation

Approach:

Consider the augmented matrix .

Since the last row of the augmented matrix represents the equation 0=0

To determine

(b)

To find:

The system of equations in the augmented matrix  is inconsistent or dependent.

To determine

(c)

To find:

The solution of the augmented matrix .

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