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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.

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The Total number of post of each kind in 30 college. 

So,

= 30A = 30 \(\begin{bmatrix} 15 \\[0.3em] 6 \\[0.3em] 1\\[0.3em] 1 \end{bmatrix}\)

= 30A = \(\begin{bmatrix} 450 \\[0.3em] 180 \\[0.3em] 30\\[0.3em] 30 \end{bmatrix}\)

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