The Inverse of Matrix Solve the Following System by the Method of Inverse Matrix

question 36

Short Answer

The inverse of matrix $\left[\begin{array}{lll}1 & 1 & 0 \\1 & 2 & 1 \\2 & 3 & 2\end{array}\right] \text { is }\left[\begin{array}{rrr}1 & -2 & 1 \\0 & 2 & -1 \\-1 & -1 & 1\end{array}\right]$
Solve the following system by the method of inverse matrix.
$\begin{array}{r}x+y=15 \\x+2 y+z=20 \\2 x+3 y+2 z=12\end{array}$

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Definitions:

Classical Conditioning

An educational process where two signals are consistently linked together; initially, the response is triggered by the second signal but over time, it starts being triggered by the first signal alone.

Associative Learning

The process by which an individual learns to connect two stimuli or a behavior and its consequence, forming new knowledge.

Sensitization

An increased reaction to a stimulus following repeated exposure to it, often used in the context of drug addiction or allergy.

Behaviorism

A theory of learning based on the idea that all behaviors are acquired through conditioning.