Level 2 matrices and it's types for grade 11

Detailed study on what is matrix and different kinds of matrices with suitable examples and exercises

1. Josterilo rosary j matrices and it’s types

2. Matrix A matrix is a rectangular array or arrangement of entries or elements displayed in rows and columns put within a square bracket [ ].If a matrix A has m rows and n columns, then it is written as A = [ a ij ] mxn ;1≤ i ≤m,1≤ j ≤ n

3. If a matrix A has m rows and n columns, then the order or size of the matrix A is defined to be m x n (read as m by n). ORDER OF THE MATRIX

4. example ORDER = 4

5. Types of matrices Row Matrix Column Matrix Unit Matrix Zero Matrix Square Matrix Diagonal Matrix

6. A matrix having only one row is called a row matrix. A=[a 1j ] 1xn is a row matrix of order. Example: A = [2, 9, 3] ROW MATRIX

7. A matrix having only one column is called a column matrix. A=[a 1 ] mx1 is a column matrix of order mx1. Column Matrix

8. Zero Matrix / Null Matrix / Void Matrix A matrix A = [a i ] mxn is said to be a zero matrix or null matrix or void matrix denoted by O if a= 0 for all values of 1≤ i ≤ m and 1 ≤ j ≤ n Example:

9. Square Matrix A matrix in which number of rows is equal to the number of columns, is called a square matrix i.e., a matrix of order nxn is often referred to as a square matrix of order n. Example:

10. Diagonal Matrix A squre matrix A=[ a ij ] is said to be a diagonal matrix if a ij =0 whenever i ≠ j Note: A square zero matrix is a diagonal Matrix

11. Unit Matrix A square matrix in which all the diagonal entries are 1 and the rest are all zero is called a unit matrix. Example:

12. Thank you JOSTERILO ROSARY J