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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. - Mathematics

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प्रश्न

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.

योग
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उत्तर

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

`X = [[15],[6],[1],[1]]`

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

`=30[[15],[6],[1],[1]]`

`=30[[450],[180],[30],[30]]`

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अध्याय 5: Algebra of Matrices - Exercise 5.2 [पृष्ठ १९]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 5 Algebra of Matrices
Exercise 5.2 | Q 21 | पृष्ठ १९

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