In a certain city there are 30 colleges.

Question:

In a certain city there are 30 colleges. Each college has 15 peons, 6 clerks, 1 typist and 1 section officer. Express the given information as a column matrix. Using scalar multiplication, find the total number of posts of each kind in all the colleges.

Solution:

Number of different types of posts in any college is given by

$x=\left[\begin{array}{c}15 \\ 6 \\ 1 \\ 1\end{array}\right]$

Total number of posts of each kind in all the colleges = 30X

$=30\left[\begin{array}{c}15 \\ 6 \\ 1 \\ 1\end{array}\right]$

 

$=\left[\begin{array}{c}450 \\ 180 \\ 30 \\ 30\end{array}\right]$

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