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  • 5 years ago

Linear Algebra: How do you know whether or not a function is in a certain subspace? for example: show Q={p(t)=a+b(1-t^2)+c(1-2t+t^4):a,b,c epsilon R} is a subspace of (PI)4

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  1. anonymous
    • 5 years ago
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    I don't know what you mean by (PI)4, but I do know that if you want to test for a subspace, you have to show that (1) Q is a subset of (PI)4 (2) If p and q are elements of Q, then p+q is in Q (3) If c is any scalar and p any vector in Q, then cp is in Q too.

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