Math Problem Statement
are the vectors <-1, 0>, <2, 3>, <4, -1> linearly independent?
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Algebra
Vector Spaces
Linear Independence
System of Linear Equations
Formulas
c1 * v1 + c2 * v2 + c3 * v3 = 0
-c1 + 2c2 + 4c3 = 0
3c2 - c3 = 0
Theorems
Linear Independence Criterion
Rank Theorem
Suitable Grade Level
Grades 11-12, College level
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