dmitriylm
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Homework Statement
Is {a0 + a1x + a2x^2 + a3x^3 | a0a3 - a1a2 = 0} a subspace of P3? Why or why not?
*The digits should be in subscript.
How would I go about answering this?
dmitriylm said:Homework Statement
Is {a0 + a1x + a2x^2 + a3x^3 | a0a3 - a1a2 = 0} a subspace of P3? Why or why not?
*The digits should be in subscript.
How would I go about answering this?
Mark44 said:Let's call your set as described above S. There are three things you need to verify to say that S is a subspace of P3:
- The zero polynomial is in S.
- If p1 and p2 are any two polynomials in S, then p1 + p2 is in S.
- If c is any real constant and p1 is in S, the cp1 is also in S.
dmitriylm said:Homework Statement
Is {a0 + a1x + a2x^2 + a3x^3 | a0a3 - a1a2 = 0} a subspace of P3? Why or why not?
*The digits should be in subscript.
How would I go about answering this?