Question
Asked Dec 21, 2019
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Explain why interchanging two rows of an augmented matrix results in an augmented matrix that represents an equivalent system of equations.

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Expert Answer

Step 1

Given:

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Interchanging two rows of an augmented matrix results in an augmented matrix that represents an equivalent system of equations.

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Step 2

Explanation:

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Interchanging of rows (columns) in an augmented matrix means interchanging the equations in the system. If we change the rows (columns) in the system of matrix it does not affect the solution of the system.

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Step 3

Example:

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Consider a matrix: 1 0 -2 Converting into equations, we get x = -2 y = 4

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Tagged in

Math

Algebra

Matrices