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Introduction to Linear Algebra

Exercise 3.1.14

Answers

(a): The subspaces of $R^{2}$ are $R^{2}$ itself, lines through $(0, 0)$ , and $(0, 0)$ by itself.
(b): The subspaces of $D$ are $D$ itself, the zero matrix by itself, and all the "one-dimensional" subspaces that contain all multiples of one fixed matrix: $c [\begin{matrix} d_{1} & 0 \\ 0 & d_{2} \end{matrix}] for all c .$

mathchakra

2022-01-16 13:22

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