- #1

negation

- 818

- 0

## Homework Statement

The following describes a subset S of R3, you are asked to decide if the subset is a subspace of R3.

x = 1-4t

y = -2-t

z = -2-t

## The Attempt at a Solution

R3 = {(1-4t, -2-t, -2-t) | t element of all Real number}If S is a subset, at least one must be true.1) must contain zero vector

2) Sum of any 2 members in S can be found in S

3) scalar multiple of any member in S can be found in S

y + z = -2-t + (-2-t) =/=0

S is not a subset of R3.