Given $A = \left[ \begin{array} { c c c } 6 & 2 & 0 \\10 & 0 & - 1\end{array} \right]$

question 44

Essay

Given $A = \left[ \begin{array} { c c c } 6 & 2 & 0 \\10 & 0 & - 1\end{array} \right]$ , $B = \left[ \begin{array} { c c } 0 & - 3 \\1 & 0 \\- 1 & 3\end{array} \right]$ and $C = \left[ \begin{array} { c } 0 \\2 \\- 3\end{array} \right]$ , determine which of $A B C$ , $A C B$ , $B A C$ , $B C A$ , $C A B$ and $C B A$ are defined, and calculate them.

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Definitions:

Measurements

Measurements refer to the size, length, or amount of something, determined through quantitative comparison with a standard unit.

Element

A fundamental or essential constituent of a composite entity; in contexts like chemistry, an element is a substance that cannot be broken down into simpler substances by chemical means.

Variable

A feature or characteristic that can vary among individuals or over time.

Characteristic

A feature or quality belonging typically to an individual, group, or situation, often used to define or distinguish.