Question
Asked Dec 21, 2019
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What can you conclude about a system of equations if the corresponding reduced row-echelon form consists of a row entirely of zeros?

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Expert Answer

Step 1

Given:

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A system of equations if the corresponding reduced row- echelon form consists of a row entirely of zeros.

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Step 2

Explanation:

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If the corresponding reduced row- echelon form consists of a row entirely of zeros, then the system of equations are dependent.

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Step 3

Example:

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Consider a matrix, |x+2y+z=2 {x-z = 2 2х +2у %3D 4 First we can write the system as an augmented matrix form, 1 0 -1| 2 2 2 04

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Tagged in

Math

Algebra

Matrices