Solution Found!
Suppose p1, p2, p3, p4 are specific polynomials that span
Chapter , Problem 6E(choose chapter or problem)
Problem 6E
Suppose p1, p2, p3, p4 are specific polynomials that span a two-dimensional subspace H of . Describe how one can find a basis for H by examining the four polynomials and making almost no computations.
Questions & Answers
QUESTION:
Problem 6E
Suppose p1, p2, p3, p4 are specific polynomials that span a two-dimensional subspace H of . Describe how one can find a basis for H by examining the four polynomials and making almost no computations.
ANSWER:
Solution 6E
Step 1 of 2
Consider a two-dimensional subspace H of such that
for some specific polynomials
The objective is to determine a basis for H without compute anything.
A set of two vectors is linearly dependent if any vector is a scalar multiple of the other, or any of the vectors in the set is a zero vector.
To form a basis for H, need to exclude the vectors, which are the linear combinations of others, or zeros one by one.