Formation and order of matrix

Chapter 3 Class 12 Matrices
Concept wise

For matrix

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 = 3 × 2

= 6

For

Number of elements = 3 × 3 = 9

Number of elements = 1 × 6 = 6

Number of elements = 5 × 1 = 5

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

Hence, possible order are

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

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### Transcript

A = [■8(3&[email protected]&4)]_(2 × 2) B = [■8(3&[email protected]&[email protected]&3)]_(3 × 2) [■8(9&5&[email protected]&8&[email protected]&1&6)]_(3 × 3) [■8(1&2&5&8&𝑥&𝑧)]_(1 × 6) [■8([email protected]@[email protected]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)