be the vector space of all real polynomials of at most degrees 3 with the inner
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.3: Orthonormal Bases:gram-schmidt Process
Problem 17E: Complete Example 2 by verifying that {1,x,x2,x3} is an orthonormal basis for P3 with the inner...
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Could you show me part (c) using the orthogonal(not orthonormal) basis in (a)?
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Could you explain how to find minimal polynomial more in detail? I don't understand why when k=1, [T] = 0 and it is contradicting what(?) and when k=0, why m(x)=x^2 and how does it make [T]^2=0? Isn't [T] is our matrix? If so, what is the relationship between the matrix and the minimal polynomial?
I would appreciate your kind explanation.
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