Math 3280
Instr: Laura Zimmermann
Lab 5
Please use Mathematica to solve the problems below.
1. Use the Solve command for each system below. Does the system have a unique
solution, infinite solutions, or no solution? If the system has unique or infinite solutions,
write the solution as an ordered triple.
a) 3𝑥 − 5𝑦 + 6𝑧 = 1
𝑥 + 2𝑦 + 3𝑧 = −4
7𝑥 + 9𝑦 − 2𝑧 = 7
b) 𝑥 − 2𝑦 + 𝑧 = 2
2𝑥 − 𝑦 − 4𝑧 = 13
𝑥−𝑦−𝑧 =5
c) 2𝑥 + 4𝑦 + 10𝑧 = 14
𝑥 + 2𝑦 + 5𝑧 = −4
3𝑥 − 4𝑦 − 3𝑧 = 15
2. Use the automated row operations technique (in the example) to solve the following
systems of equations. Use the command MatrixForm[ insert name of matrix here ] to
show each of your steps. (You can use the RowReduce or Solve commands to check
your answer if you’d like, but only using those commands will not earn you credit on this
problem.)
4 x1  2 x2  3 x3  x4  3
2 x1  2 x2  5 x3  10
4 x1  x2  2 x3  x4  17
3x1  x3  x4  3