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Linear Algebra Examples
Step 1
Write as an augmented matrix for .
Step 2
Step 2.1
Multiply each element of by to make the entry at a .
Step 2.1.1
Multiply each element of by to make the entry at a .
Step 2.1.2
Simplify .
Step 3
Use the result matrix to declare the final solution to the system of equations.
Step 4
Write a solution vector by solving in terms of the free variables in each row.
Step 5
Write the solution as a linear combination of vectors.
Step 6
Write as a solution set.