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In this lesson, we will learn how to find the general solution of a system of linear equations whether it has a unique solution, an infinite number of solutions, or no solution.

Q1:

Find the general solution to the system of equations associated with the following augmented matrix: ⎡⎢⎢⎢⎢⎣102112010121120013101022⎤⎥⎥⎥⎥⎦.

Q2:

Find the general solution to the linear system 0−121−211−45𝑥𝑦𝑧=1−11.

Q3:

Find the general solution to the linear system ⎡⎢⎢⎣10111−1103−1323303⎤⎥⎥⎦𝑥𝑦𝑧𝑤=⎡⎢⎢⎣1243⎤⎥⎥⎦.

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