Question

Replace row 2 augmented matrix calculator modifies an augmented matrix by applying operations such as:

a) Row addition or subtraction.
b) Column transposition.
c) Scalar multiplication.
d) Matrix inversion.

Answer 1

Row addition or subtraction is a process in linear algebra used to modify an augmented matrix. It involves adding or subtracting corresponding elements of rows. This operation helps to simplify the matrix and solve systems of linear equations.

Step-by-step explanation:

In linear algebra, the process of replacing one row with a linear combination of rows in an augmented matrix is called row addition or subtraction. This operation is often used to solve systems of linear equations. To perform row addition or subtraction, you can add or subtract corresponding elements of the rows.

For example, to replace row 2 of an augmented matrix with the sum of row 1 and row 3, you would perform the following steps:

1. Add the corresponding elements of row 1 and row 3 to get a new row.
2. Replace row 2 with the new row.

This modification of the augmented matrix can help simplify the matrix and make it easier to solve the system of equations it represents.