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:

Direct Forecast

A method of predicting future values such as sales or trends by directly analyzing specific variables or indicators.

Forecast

A prediction or estimate of future trends, events, or conditions, often based on current data or trends.

Intervening Steps

The stages or actions that occur between the start and completion of a process, often involving intermediary tasks or decisions.

Cross Tabulation

A statistical tool used to analyze the relationship between two or more variables by displaying data in a tabular format.