Math Problem Statement
Todd rewrites a system of equations of variables x, y, and z as a matrix, which he then starts to reduce. He stops when he has the result below:
1 1 0 –9
0 0 1 4 0 0 0 0
What can Todd conclude about his original system of equations? A.x = −9. B.x + y + z = 0. C.The system has no solution. D.The system has infinite solution
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Systems
Matrix Reduction
Row Echelon Form
Formulas
Row Reduction
Solving Linear Systems
Theorems
Rank-Nullity Theorem
Infinite Solutions in Systems of Linear Equations
Suitable Grade Level
Grades 10-12
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