Math Problem Statement
Are the vectors [−24],[7−2] and [3−6] linearly independent?
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Algebra
Vector Spaces
Linear Independence
Systems of Linear Equations
Formulas
Linear combination: c1 * v1 + c2 * v2 + c3 * v3 = 0
System of linear equations derived from vector components
Theorems
Linear Independence Theorem
Homogeneous System Theorem
Suitable Grade Level
Undergraduate - Linear Algebra
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