Question

Suppose the coefficient matrix of a linear system of three equations in three variables has a pivot in each column. Explain why the system has a unique solution.

Answer 1

The system has a unique solution. Because the augmented matrix can be reduced to the form of the identity matrix.

What exactly is a linear system?

It is an equation system in which the maximum power of the variable is always 1. A figure with only one dimension and no breadth. It is made up of infinite dots placed side by side.

The augmented matrix must be reduced to the form of the identity matrix since there are three pivots one in each row.

Whatever is on the opposite side of the equal sign, there is a solution that is specific and exists.

Hence, the system has a unique solution.

To learn more about the linear system, refer to the link brainly.com/question/20379472.

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