EXAM 1Name___________________________________SHOW ALL WORK TO RECEIVE CREDIT.INTERNET OR CALCULATOR ANSWERS WITHOUT WORK WILL NOTBE ACCEPTED.When you perform the row reduction, the operation Ri+kRk must be written before the new row.Show the scratchwork also.SIGNATURE TO AFFIRM THAT YOU WORK INDEPENDENTLY.1)(30 points total)x1-x2+2x3=12x1+3x3=4-30x1+30 x2-60x3=7a.(5 points) Determine whether the system is consistent without using row reduction.b.(5 points) Write the system as a matrix equation.c.(5 points) Set up the augmented of the system, and label all columns.d.(5 points) Determine whether the system is consistent using row reduction.e.(5 points) Use Row Reduction to solve the homogeneous systembelow.Specifybasic and free variables.1)
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f. (5 points) Express the solution in parametric vector form.1
2)(10 points total )2x1-2x2=1-2x1+4x2= -2(3 points)Write the system asAx=b.What areAandb?