Algebra 2 3-6 Guided Practice: Solving Systems Using Matrices
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Keep in mind that these rules also allow you to subtract one row from another and even subtract the multiple of one row from another.
Identify the step(s) that can be used to make each transformation.
Then, subtract row 2 from the row.
Divide the entire row by 4.
Divide the entire row by 2 to get [0 4 1].
Subtract row 3 from the row.
Step 1: Transform...
Figure 1 row 1 (top row) into [1 0 0]
Step 2: Transform...
Figure 1 row 2 (middle row) into [0 1 0]
Step 3: Transform...
Figure 1 row 3 (bottom row) into [0 0 1]
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Take Note: Define matrix.
Also, create an example 3 × 2 matrix with 6 elements on the canvas.
Problem 1 Got It?
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Take Note: Summarize the process of representing systems of equations using matrices.
Problem 2 Got It?
Problem 2 Got It?
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Problem 3 Got It?
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Take Note: Which of the following is not considered a matrix row operation?
Problem 4 Got It? What is the solution of the system?
1. Use an augmented matrix and row operations to solve. Show your work on the canvas.
2. Enter the solution as an ordered pair in the response field.
Tip: For efficiency, you may use the rectangle tool to represent matrix frames on the canvas.
The first frame, for your augmented matrix, is constructed as an example.
You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.
Problem 4 Got It? Resoning: Which method is more similar to solving a system using row operations: elimination or substitution? Justify your reasoning.
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Take Note: Summarize the process of solving a system of equations using augmented matrices and a utility with a "rref" function.
🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
