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    Is Q a Subspace of R2 or R3?

    Cool, thanks very much guys. Makes sense now!
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    Is Q a Subspace of R2 or R3?

    Hey, this isn't for homework per se, but if anyone could lend me a hand figuring this out I'd appreciate it a lot! Homework Statement Determine whether Q is a subspace of R2/R3 in the following cases: Homework Equations Q = \{\left v = \left( v1, v2, 0 \right) | v1,v2 \in R...
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    Undergrad Determine if linearly independent?

    Thanks a million guys, that's really helped me (finally) understand this stuff.
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    Undergrad Determine if linearly independent?

    Brilliant! That makes perfect sense to me. Thanks very much for clearing that up. So if the last row does reduce to 0 0 0 after row reducing, then it's safe to say that the vectors are dependent?
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    Undergrad Determine if linearly independent?

    Hi all, I have been studying Linear Algebra for an upcoming exam, and one question has puzzled me slightly! How do you determine of a vector in R4 is linearly independent? Given three vectors, each with 4 rows, I know you are meant to arrange them into a matrix, like this: \[ \left(...