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Consider the following system of equations. x1+2x2+2x3 − 2x4+2x5 = 5 −2x1 − 4x3+ x4 −...

Consider the following system of equations.

x1+2x2+2x3 − 2x4+2x5 = 5

−2x1 − 4x3+ x4 − 10x5 = −11

x1+2x2 − x3+3x5 = 4

1. Represent the system as an augmented matrix.

2. Reduce the matrix to row reduced echelon form. (This can be accomplished by hand or by MATLAB. No need to post code.)

3. Write the set of solutions as a linear combination of vectors in R5. (This must be accomplished by hand using the rref form found above.)

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