MATH1030

MATH1030 interactive textbook

An interactive-first linear algebra route focused on operations, structure, and interpretation.

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3 Chapter

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Chapter 1

Systems of equations

Learn to read equations as full solution sets.

1.1Source-backed1 Interactive checkpoints

1.1 Equations and solution sets

Read a linear system as a collection of conditions and describe its full solution set carefully.

reference/MATH1030/MATH1030-Notes.pdf (§1.1-§1.2)

reference/MATH1030/1030efghi-tutorial-week02.pdf

reference/MATH1030/Practice Set 1_Set review and Solving Linear system.pdf

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Chapter 2

Matrices and elimination

Build matrix intuition and use row reduction with purpose.

2.1Source-backed1 Interactive checkpoints

2.1 Matrix basics

Build matrix intuition before you row-reduce: size, entries, rows, columns, and arithmetic meaning.

reference/MATH1030/MATH1030-Notes.pdf (§2.1, §3.1-§3.2)

reference/MATH1030/1030gi-n01-01.pdf

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2.2Source-backed2 Interactive checkpoints

2.2 Augmented matrices and row operations

Translate a system into an augmented matrix and understand what each row operation preserves.

reference/MATH1030/MATH1030-Notes.pdf (§2.1-§2.2)

reference/MATH1030/1030gi-n02-01.pdf

reference/MATH1030/Practice Set 1_Set review and Solving Linear system.pdf

Open unit

2.3Source-backed1 Interactive checkpoints

2.3 Gaussian elimination and RREF

See Gaussian elimination as a sequence of purposeful moves, not just memorized mechanics.

reference/MATH1030/MATH1030-Notes.pdf (§2.2)

reference/MATH1030/1030gi-n02-03.pdf

reference/MATH1030/1030efghi-tutorial-week03.pdf

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2.4Source-backed1 Interactive checkpoints

2.4 Solution-set types

Classify whether a system has one solution, infinitely many solutions, or no solution by reading its reduced form.

reference/MATH1030/MATH1030-Notes.pdf (§2.3)

reference/MATH1030/Practice Set 1_Set review and Solving Linear system.pdf

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Chapter 5

Invertibility

Understand when a matrix can be undone and why that matters.

5.1Source-backed1 Interactive checkpoints

5.1 Invertible matrices

Connect inverse matrices, row reduction, and the practical meaning of nonsingularity.

reference/MATH1030/MATH1030-Notes.pdf (§5.1-§5.3)

reference/MATH1030/Practice Set 4_Invertible Matrix.pdf

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