Question

Is augmented matri invertible if linear system has a unique solution

Answer 1

An augmented matrix is invertible if the linear system has a unique solution.

What is an augmented matrix?

The augmented matrix is known as a rectangular matrix.

The properties of an augmented matrix includes:

• The number of columns is equal to the number of  variables in the linear equations.
• The number of rows is the same as the number of linear equations.
• The rows of the augmented matrix can be also be interchanged.

Note that the inverse of a matrix must be unique

And If A is invertible, then its inverse is unique.

If the linear system is unique, then the augmented matrix is invertible.

Thus, an augmented matrix is invertible if the linear system has a unique solution.

Learn more about augmented matrices here:

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