Which of the following are valid row operations for augmented matrices?

switch positions of two rows.

add elements of one row to another row.

multiply elements of one row by another row.

multiply elements of one row by a scalar.

raise elements of a row to a power.

The following options are correct

Switch positions of two rows. Add elements of one row to another row.Multiply elements of one row by a scalar.

Matrices are ways of arranging numbers in rows and columns.

A matrix can be augmented with another type of matrixThe row reduction method is a way of changing the elements of a matrices using formula.

When carrying out the row reduction on a given matrix, the following operations are carried out

The position of the rows or columns can be switchedThe element of a row can be subtracted or added to the element of another rowThe element of a row can be multiplied by a scale factor.

Based on the explanation above, the following options are correct

Switch positions of two rows. Add elements of one row to another row.Multiply elements of one row by a scalar.

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Switch positions of two rows.Add elements of one row to another row.Multiply elements of one row by a scalar

Step-by-step explanation:

In general, each row represents a linear equation. The rules of equality apply. They allow you to multiply both sides of the equation by a scalar, add equal values to each side of the equation (add one row to another). Rearranging the sequence of equations (swapping rows) does not change the system or its solution.

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