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.

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Solution

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

X = $[\begin{matrix} 15 \\ 6 \\ 1 \\ 1 \end{matrix}]$

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

= 30 $[\begin{matrix} 15 \\ 6 \\ 1 \\ 1 \end{matrix}]$

= $[\begin{matrix} 450 \\ 180 \\ 30 \\ 30 \end{matrix}]$

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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.

Number of different types of posts in any college is given by X = 15611 Total number of posts of each kind in all the colleges = 30X = 3015611 = 4501803030

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

X = $[\begin{matrix} 15 \\ 6 \\ 1 \\ 1 \end{matrix}]$

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

= 30 $[\begin{matrix} 15 \\ 6 \\ 1 \\ 1 \end{matrix}]$

= $[\begin{matrix} 450 \\ 180 \\ 30 \\ 30 \end{matrix}]$