Math Problem Statement

If the columns of a 2×2 non-zero matrix are linearly dependent, then the span of the columns of the matrix is a line.

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Matrix Theory
Linear Dependence

Formulas

Linear dependence: a1 * v1 + a2 * v2 = 0

Theorems

Span theorem
Linear Independence/Dependence Theorem

Suitable Grade Level

College Level (Linear Algebra)

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