Algebra 2 3-6 Guided Practice: Solving Systems Using Matrices

by Matthew Richardson

| 9 Questions1

2

1

5

Solve It! Is it possible to use the rules shown to change Figure 1 into Figure 2?

No

Yes

2

10

Solve It! Resequence the following steps to change Figure 1 into Figure 2.

- Divide row 2 by 8 and row 3 by -2
- Multiply row 3 by -1 and add it to row 1
- Multiply row 2 by 2 and add it to row 3

3

3

10

Problem 1 Got It?

A

B

C

D

4

4

10

Problem 2 Got It?

A

B

C

D

5

5

10

Problem 2 Got It?

A

B

C

D

6

6

10

Problem 3 Got It?

A

B

C

D

7

30

Problem 4 Got It? What is the solution of the system? Use an augmented matrix to solve and show your work on the canvas using colors that stand out. For efficiency, you may use the rectangle tool to represent matrix frames. The first frame for your augmented matrix is constructed for you as an example.

8

10

Problem 4 Got It? Resoning: Which method is more similar to solving a system using row operations: elimination or substitution? Justify your reasoning.

A good, simple matrix rref calculator from the Linear Algebra Toolkit can be found here. Symbolab, WolframAlpha, and other utilities will also convert matrices into reduced row echelon form, but may require permium access to show all row operations. Desmos is also developing a matrix calculator!

9

9

10

Problem 5 Got It?

A

B

C

D

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