2 0 2 -2 -5 1 -1 0 -3 3 3 Find a basis for R(A), C(A) and N(A) of the following matrix: A = -8 4 1. 6. 0-7 21 Let Paf R) be the set of polynomials of degree Sn with real coefficients. Prove that Pl R) is a vector space with usual addition and multiplication by a scalar.
2 0 2 -2 -5 1 -1 0 -3 3 3 Find a basis for R(A), C(A) and N(A) of the following matrix: A = -8 4 1. 6. 0-7 21 Let Paf R) be the set of polynomials of degree Sn with real coefficients. Prove that Pl R) is a vector space with usual addition and multiplication by a scalar.
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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