Formation and order of matrix

Chapter 3 Class 12 Matrices
Concept wise

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

It is in the form of a table like

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

In this matrix

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

## How can we represent it as a matrix.

### 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)]