✓ Got It?
- How can you represent the system of equations with a matrix?
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Problem 3 Writing a System From a Matrix
What linear system of equations does this matrix represent?
| Think | Write |
|---|---|
| Each row shows coefficient-coefficient-constant of one equation. | 5x + 2y = 7 0x + 1y = 9 |
| Simplify. Write the system. |
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✓ Got It?
- What linear system does
You can use a matrix that represents a system of equations to solve the system. In this way, you do not have to write the variables. To solve the system using the matrix, use the steps for solving by elimination. Each step is a row operation.
Your goal is to use row operations to get a matrix in the form
Notice that the first matrix represents the system x = a, y = b, which then will be the solution of a system of two equations in two unknowns. The second matrix represents the system x = a, y = b, and z = c.
Take Note Key Concept: Row Operations
| Switch any two rows. |
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| Multiply a row by a constant. |
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| Add one row to another. |
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| Combine any of these steps. | |
Table of Contents
- 5-1 Polynomial Functions
- 5-2 Polynomials, Linear Factors, and Zeros
- 5-3 Solving Polynomial Equations
- 5-4 Dividing Polynomials
- 5-5 Theorems About Roots of Polynomial Equations
- 5-6 The Fundamental Theorem of Algebra
- 5-7 The Binomial Theorem
- 5-8 Polynomial Models in the Real World
- 5-9 Transforming Polynomial Functions