Math Problem Statement
Find linear independence and dependence of vector of x1=[q,2,3] x2=[3,-2,1] x3=[1,-6-5]
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Algebra
Matrix Determinants
Linear Independence and Dependence
Formulas
Determinant of a 3x3 matrix: det(A) = a(ei − fh) − b(di − fg) + c(dh − eg)
Linear dependence condition: det(A) = 0
Theorems
Determinant Theorem for Linear Independence
Suitable Grade Level
Undergraduate Level
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