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My first Post, Help me please, I have a Linear Algebra Question about subspaces

Hey guys I new help on 2 questions that were given for a test review. Download the attachment to view the 2 questions as a picture.

Re: My first Post, Help me please, I have a Linear Algebra Question about subspaces

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Originally Posted by

**jocs46** Hey guys I new help on 2 questions that were given for a test review. Download the attachment to view the 2 questions as a picture.

For #1.

Show that $\displaystyle W$ contains the zero vector.

Show if $\displaystyle \{x,y\}\subset W$ and $\displaystyle \alpha$ is a scalar then $\displaystyle (x+\alpha y)\in W.$

Re: My first Post, Help me please, I have a Linear Algebra Question about subspaces

For #2, what is the 0 "vector" for this vector space? Is it in this subset?