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

Number of elements in a matrix - Part 2

 

Number of elements = 3 × 2

  = 6

For

Number of elements in a matrix - Part 3

Number of elements = 3 × 3 = 9

 

Number of elements in a matrix - Part 4

Number of elements = 1 × 6 = 6

Number of elements in a matrix - Part 5

Number of elements = 5 × 1 = 5

Number of elements in a matrix - Part 6

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

Number of elements in a matrix - Part 7

Hence, possible order are

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

 

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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)

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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 14 years. He provides courses for Maths, Science and Computer Science at Teachoo