The Matrix $\left[\begin{array}{rrr}1 & 1 & -1 \\-3 & 2 & -1 \\3 & -3 & 2\end{array}\right]$

question 111

Short Answer

The matrix $\left[\begin{array}{rrr}1 & 1 & -1 \\-3 & 2 & -1 \\3 & -3 & 2\end{array}\right]$ is the inverse of $\left[\begin{array}{lll}1 & 1 & 1 \\3 & 5 & 4 \\3 & 6 & 5\end{array}\right]$


. Solve the following system by the inverse matrix method.
x+y+z=4
3 x+5 y+4 z=3
3 x+6 y+5 z=2

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Definitions:

False Consensus Effect

A cognitive bias where people overestimate the extent to which their opinions, beliefs, preferences, values, and habits are normal and typical of those of others.

Reciprocal Determinism

A concept in psychology that suggests an individual's behavior is influenced by both their personal characteristics and their environment.

Social-Cognitive Perspective

A psychological approach that emphasizes the role of cognitive processes in understanding interpersonal behavior within a social context.

Albert Bandura

was a Canadian-American psychologist known for his work on social learning theory and the concept of self-efficacy.