Math Problem Statement

Resolverlo en español

Find h such that [1 1 | 4; 3 h | 12] is the augmented matrix of a consistent system.

Solution

Para resolver el problema, necesitamos determinar el valor de hh tal que la siguiente matriz aumentada represente un sistema consistente:

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Systems of Equations
Augmented Matrix
Gaussian Elimination

Formulas

(3 - h)x + 4h = 12
x = (12 - 4h) / (3 - h)

Theorems

Consistency of Linear Systems

Suitable Grade Level

Grades 10-12