Math Problem Statement

In order for the system of equation above to be a consistent system, k must be equal to what?

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Consistent Systems
Determinants
Systems of Linear Equations

Formulas

Determinant of a 3x3 matrix
Gaussian elimination
Rank of matrix

Theorems

Rank-Nullity Theorem
Determinant Theorem

Suitable Grade Level

Grades 10-12