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Introduction to Linear Algebra

Exercise 3.1.9

Answers

(a): The vectors with integer components allow addition, but not multiplication by $\frac{1}{2}$
(b): Remove the $x$ axis from the $xy$ plane (but leave the origin). Multiplication by any $c$ is allowed but not all vector additions: $(1, 1) + (- 1, 1) = (0, 2)$ is removed.

mathchakra

2022-01-16 13:19

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