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There is no such thing as a general solution of a matrix any more than there is a general solution of a number. What you were asking for is a general solution to the equation

The General Solution of a System of Linear Equations

A set of values of x, y, z which simultaneously satisfy all the equations is called a solution to the system of equations. Consider, x + y + z = 9. 2x – y + z = 5. 4x + y – z = 7. Here, the set of

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The answer to the math problem is __.

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The general solution for first matrix is $\begin{cases} x_1=x_3\\x_2=-x_3\\x_3\ \text{is free}\end{cases}$ in which case, the null space is spanned only by one free vector, i.e.