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Introduction to Linear Algebra

Exercise 3.1.15

Answers

(a): Two planes through $(0, 0, 0)$ probably intersect in a line through $(0, 0, 0)$
(b): The plane and line probably intersect in the point $(0, 0, 0)$ . Could be a line!
(c): If $x$ and $y$ are in both $S$ and $T, x + y$ and $cx$ are in both subspaces.

mathchakra

2022-01-16 13:22

Comments

(a) The intersection of two planes through (0, 0, 0) is probably a line but it could be a plane. It can't be a Z! (b) The intersection of a plane through (0, 0, 0) with a line through (0, 0, 0) is probably a line but it could be a Z. (c)

s1 • 2024-10-18