Every problem in the chapter beside the book’s answer, a chapter at a time as you scroll.

Chapter 1: Unit I: Ax = b and the Four Subspaces

45 problems · 115 figures

1.1 §1.1 source ↗

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1.2 §1.1 source ↗

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1.3 §1.1 source ↗

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2.1 §1.2 source ↗

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2.2 §1.2 source ↗

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3.1 §1.3 source ↗

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3.2 §1.3 source ↗

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4.1 §1.4 source ↗

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4.2 §1.4 source ↗

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5.1 §1.5 source ↗

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5.2 §1.5 source ↗

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5.3 §1.5 source ↗

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6.1 §1.6 source ↗

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6.2 §1.6 source ↗

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6.3 §1.6 source ↗

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7.1 §1.7 source ↗

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7.2 §1.7 source ↗

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8.1 §1.8 source ↗

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8.2 §1.8 source ↗

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8.3 §1.8 source ↗

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9.1 §1.9 source ↗

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9.2 §1.9 source ↗

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10.1 §1.10 source ↗

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10.2 §1.10 source ↗

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11.1 §1.11 source ↗

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11.2 §1.11 source ↗

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12.1 §1.12 source ↗

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12.2 §1.12 source ↗

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1 §1.13 source ↗

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2 §1.13 source ↗

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3 §1.13 source ↗

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4 §1.13 source ↗

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1 §1.13 source ↗

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2 §1.13 source ↗

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3 §1.13 source ↗

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4 §1.13 source ↗

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5 §1.13 source ↗

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6 §1.13 source ↗

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7 §1.13 source ↗

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8 §1.13 source ↗

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9 §1.13 source ↗

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1 §1.14 source ↗

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2 §1.14 source ↗

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3 §1.14 source ↗

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4 §1.14 source ↗

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Exercises and answers are adapted from 18.06SC Linear Algebra by Prof. Gilbert Strang, which is free to read and download, and are used under the CC BY-NC-SA 4.0 licence. They are taken from the course’s problem and solution PDFs, cropped as printed, and set for the web, so they may differ slightly from the printed page. This adaptation is released under the same licence and is neither affiliated with nor endorsed by Strang or MIT OpenCourseWare.