For matrix

17.jpg

Number of elements = 2 × 2 = 4

We can calculate number of elements by counting,

or from order of matrix

 

Number of elements = Number of Rows × Number of columns

Similarly, for matrices

18.jpg

 

Number of elements = 3 × 2

  = 6

For

19.jpg

Number of elements = 3 × 3 = 9

 

0.jpg

Number of elements = 1 × 6 = 6

20.jpg

Number of elements = 5 × 1 = 5

21.jpg

Number of elements = 3 × 4 = 12

 

If a matrix has 12 elements, what are the possible order it can have?

 

Since matrix has 12 elements

22.jpg

Hence, possible order are

  1 × 12, 2 × 6, 3 × 4, 4 × 3, 6 × 2, 12 × 1

 

  1. Chapter 3 Class 12 Matrices
  2. Concept wise

Transcript

A = [■8(3&2@1&4)]_(2 × 2) B = [■8(3&2@1&4@5&3)]_(3 × 2) [■8(9&5&2@1&8&5@3&1&6)]_(3 × 3) [■8(1&2&5&8&𝑥&𝑧)]_(1 × 6) [■8(5@9@3@𝑦@tan^(−1)⁡𝑥 )]_(5 × 1) [■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 )]_(3 × 4)

About the Author

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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.