MathLab with Mr. Ahmed

MathLab with Mr. Ahmed is a math learning website by Ahmed Amasha, a mathematics teacher teaching the American curriculum. Explore Algebra 2, Precalculus, Calculus, and SAT and PSAT Math Prep through lessons, focused practice and printable resources.

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10.3 Matrices and Systems of Linear Equations

Focus on augmented matrix and identify pivot.

Before you solve

Ideas in this lesson

Explore the lesson brief and the worked example for Idea 11. Create a free account to continue with the remaining ideas and practice.

Lesson brief and rules

10.3 Matrices and Systems of Linear Equations

An augmented matrix records coefficients and constants of a linear system.

Worked example 11
01 / In the augmented row [3,5∣4][3, 5 | 4], what equation is represented?
02 / The first two entries are coefficients; the value after ∣| is the constant.
03 / Answer: 3x+5y=43x+5y=4
Worked example 2 · Identify pivot

In row [1,4∣6][1,4|6], what is the leading entry?

The first nonzero entry is 11. Answer: 11

15 questions covering every idea, with a worked answer for each.Start practice ↗
Textbook reference: Stewart, Redlin & Watson, Precalculus: Mathematics for Calculus, 7th ed. (Cengage, 2016). The explanations and practice here are original, organized by textbook section.