 Thread starter
 #1
Hello,
I want ask some subspace problems. Attachment is a question.
contains all polynomials with degree less than 3 and with real coefficients.
I want prove that item 1 and item 2 are subspace or not.
Am I insert real number to the item 1& 2 equation to test as follows:
(a) 0 ∈ S.
(b) S is closed under vector addition.
(c) S is closed under scalar multiplication.
Would you mind tell me how Determine whether the following sets are subspaces of P3. If it is a subspace, prove it. If it is not a subspace, give a counterexample.
Best Regard
Kitty
I want ask some subspace problems. Attachment is a question.
contains all polynomials with degree less than 3 and with real coefficients.
I want prove that item 1 and item 2 are subspace or not.
Am I insert real number to the item 1& 2 equation to test as follows:
(a) 0 ∈ S.
(b) S is closed under vector addition.
(c) S is closed under scalar multiplication.
Would you mind tell me how Determine whether the following sets are subspaces of P3. If it is a subspace, prove it. If it is not a subspace, give a counterexample.
Best Regard
Kitty
Attachments

48 KB Views: 10