The Matrix Associated with the Solution to a System of Linear

question 84

Multiple Choice

The matrix associated with the solution to a system of linear equations in x, y, and z is given. Write the solution to the
system, if it exists.
- $$\left[ \begin{array} { r r r | r } 1 & 1 & 1 & - 4 \\1 & - 1 & 4 & - 26 \\5 & 1 & 1 & - 24\end{array} \right]$$

• A) \(x = - 5 , y = 5 , z = - 4\)
• B) \(x = - 4 , y = 5 , z = - 5\)
• C) \(x = - 4 , y = - 5 , z = 5\)
• D) \(x = - 5 , y = - 4 , z = 5\)

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Definitions:

Preoperational Thought

A stage in Piaget's theory of cognitive development where children from about 2 to 7 years old demonstrate symbolic thinking but not yet using cognitive operations like logic.

Metacognition

The awareness and understanding of one's own thought processes, often referred to as "thinking about thinking."

Abstract Thinking

The ability to think about objects, principles, and ideas that are not physically present.

Symbolic Thinking

The ability to use symbols, images, or objects to represent something that is not physically present, commonly seen in language, mathematics, and art.