Math Problem Statement

Compare the columns of U and V with the bases found for C (A), C(A superscript T), N(A) and N(A superscript T). What can you say about the columns of U and V in terms of the bases for the four subspaces of matrix A? U=[1/√2,1/√2;1/√2,-1/√2], V=[[-1/√2,-1/√2,1/√3; 1/√2,1/√2,1/√3;0,0,1/√3], C(A)=[1,0;0,1], C(A superscript T)= [1,0;0,1;1,1], N(A)=[-1,-1,1], N(A superscript T]= [0]. Answer should not be more than 80 words

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Vector Spaces
Orthogonality

Formulas

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Theorems

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Suitable Grade Level

Advanced Undergraduate