Suppose Madhu has 3 pens & 2 notebooks,
   and Sanjay has 1 pen & 4 notebooks

How can we represent it in an easy way?

 

We use Matrix?

So, we write the data as

1.jpg

It is in the form of a table like

Matrix - Part 2

 

Now,

Suppose Tarun has 5 pens & 3 notebooks

 

How will we write this in a matrix?

Madhu has 3 pens & 2 notebooks

Sanjay has 1 pens & 4 notebooks

Tarun has 5 pens & 3 notebooks

 

So, our matrix looks like

Matrix - Part 3

 

In this matrix

Matrix - Part 4

 

So, in matrix B, we have

3 Rows,
2 Columns
& 6 elements - 3, 2, 1, 4, 5, 3

 

Similarly, we can have a matrix of any number of rows & columns, and elements can be numbers or variables

 

Example

Matrix - Part 5

 

 

Suppose we have vertex of quadrilateral as

A (1, 2), B (0, 8), C (4, 0), D (3, 3).

How can we represent it as a matrix.

 

Matrix - Part 6

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Transcript

A = [■8(3&2@1&4)] Pens Notebooks Madhu 3 2 Sanjay 1 4 3 2 1 4 B = [■8(3&2@1&4@5&3)] [■8(3&2@1&4@5&3)] [■8(9&5&2@1&8&5@3&1&6)] [■8(1&2&5&8&𝑥&𝑧)] [■8(5@9@3@𝑦@tan^(−1)⁡𝑥 )] [■8(sin⁡𝑥&cos⁡𝑥&tan⁡𝑥&cot⁡𝑥@sin⁡𝑦&cos⁡𝑦&tan⁡𝑦&cot⁡𝑦@sin⁡𝑧&cos⁡𝑧&tan⁡𝑧&cot⁡𝑧 )] X = [■8(1&2@0&8@4&0@3&3)] or Y = [■8(1&0&4&3@2&8&0&3)]

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.