Consider the following system of equations
2x+5y−2z+w=4
−3x+4y+z−w=−8
−2x−y+z+w=2
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a) How do you know that this system of equations is either dependent (has infinite solutions) or inconsistent (has no solution) with doing the problem?
b) Write down the augmented matrix for this problem. c
) Solve the problem for the variables x,y,z, and w