Which operations can be applied to a matrix in the process of Gauss-Jordan elimination?

1 answer:

5 0

Operations that can be applied to a matrix in the process of Gauss-Jordan elimination are options 1,2 and 4.

<h3 /><h3>What is gauss Jordan's elimination?</h3>

Gauss-Jordan Elimination is a matrix-based technique for solving linear equations or determining a matrix's inverse.

When using Gauss Jordan elimination, the following operations may be carried out on a matrix:

1. Replacing a row with twice that row

2. Replacing a row with the sum of that row and another row

3. Swapping row

The optional row(or column) procedures that can be employed are:

1. Alternate any two rows (or columns)

2. Scalar multiples of one row (column) are added or subtracted from another row (column) occurs when a row is substituted with the sum of another row and that row.

3. Multiply any row (or column) fully by a nonzero scalar, as seen below by substituting a row with two rows.

Hence, Gauss-Jordan elimination includes options 1,2, and 4.

To learn more about the gauss Jordan's elimination refers to;

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Let's try to divide the sentence into multiple parts and then combine it one by one to make it easier to understand.

1. True
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2. True
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5. True
This one should be clear as it was one sentences
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6. False
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