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

2.jpg

 

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

3.jpg

 

In this matrix

4.jpg

 

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

6.jpg

 

 

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.

 

8.jpg

  1. Chapter 3 Class 12 Matrices
  2. Concept wise

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)]

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.