![INTRODUCTION
Matrix is the rectangular or square array of numbers
arranged in rows and columns enclosed by a pair of
brackets subject to certain rules of presentation.
It is symbolized by [ ] or || || .](https://image.slidesharecdn.com/mathmatrix-191125131006/85/Math-matrix-2-320.jpg)
Math matrix
- 1. MATRIX Mahdi Hasan Rupom Roll: 172; Sec: A
- 2. INTRODUCTION Matrix is the rectangular or square array of numbers arranged in rows and columns enclosed by a pair of brackets subject to certain rules of presentation. It is symbolized by [ ] or || || .
- 3. Types of Matrix Square Matrix Rectangular Matrix Unit Matrix or identity matrix Row matrix Symmetric matrix Column matrix Scalar matrix Diagonal matrix zero matrix
- 4. Square Matrix The Matrix having same number of rows and columns is called square matrix Rectangular MAtrix Unit or identity Matrix The Matrix having unequal number of rows and columns is called Rectangular Matrix The matrix where every element in principal diagonal is “1” & remaining all elements are zero (0) , is called UNIT MATRIX or IDENTITY MATRIX. It is always symbolized by English capital letter “I” 1 2 3 4 5 6 4 7 8 A = 45 4 5 10 9 7 A = 1 0 0 A = 0 1 0 0 0 1
- 5. Row Matrix The Matrix having only one row is called row matrix. Column matrix Diagonal matrix The matrix having only one column is called column matrix. It’s a kind of matrix where non-zero elements lie in a particular diagonal and remaining all elements are zero (0) 1 2 8A = 4 9 8 A = 1 0 0 A = 0 2 0 0 0 3
- 6. Symmetric Matrix If a matrix transposed and it remains unchanged then it is called symmetric matrix Scalar matrix Zero/null matrix It’s a kind of matrix is where non-zero elements lie in the principal diagonal and all the elements of principal diagonal are equal and remaining all elements are zero (0) If the all elements of a matrix is zero (0) it’s called zero or null matrix. It’s written by English capital letter ‘O’. 1 2 3 A = 2 4 5 3 5 6 T 1 2 3 A = 2 4 5 3 5 6 2 0 0 S = 0 2 0 0 0 2 0 0 0 z = 0 0 0 0 0 0
- 7. Matrix in daily life