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Matrix

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Matrix

1. 1. PRESENTATION ON TOPIC MATRIX
2. 2. MATRIX A system of m n numbers are arranged in the form of an ordered set of m rows, each row consisting of an ordered set of n numbers, is called an m * n matrix.
3. 3. TYPES OF MATRIX <ul><li>Row matrix </li></ul><ul><li>Column matrix </li></ul><ul><li>Square matrix </li></ul><ul><li>Zero matrix </li></ul><ul><li>Diagonal matrix </li></ul><ul><li>Scalar matrix </li></ul><ul><li>Unit matrix </li></ul><ul><li>Triangular matrix </li></ul><ul><li>Addition/Subtraction matrix </li></ul><ul><li>Product matrix </li></ul>
4. 4. ROW MATRIX <ul><li>An m * n matrix is called a row matrix if m =1 </li></ul>
5. 5. COLUMN MATRIX <ul><li>An m n matrix is called a column matrix if n =1 </li></ul>
6. 6. SQUARE MATRIX <ul><li>An m *n matrix is called a square matrix if m = n </li></ul>
7. 7. RECTANGULAR MATRIX <ul><li>An matrix which is not a square matrix, is called a </li></ul><ul><li>rectangular matrix. </li></ul>
8. 8. ZERO MATRIX <ul><li>A matrix each of whose elements is zero is called a </li></ul><ul><li>zero matrix and is denoted by 0. zero matrix is also </li></ul><ul><li>called null matrix. </li></ul>
9. 9. DIAGONAL MATRIX <ul><li>A square matrix with all its non-diagonal elements </li></ul><ul><li>as zero is called a diagonal matrix. </li></ul>
10. 10. SCALAR MATRIX <ul><li>A diagonal matrix all of whose diagonal elements </li></ul><ul><li>are equal is called a scalar matrix. </li></ul>
11. 11. UNIT MATRIX <ul><li>A scalar matrix all of whose diagonal elements are </li></ul><ul><li>equal to unity is called a unit matrix and denoted </li></ul><ul><li>by In, if it is of order n . Unit matrix is also called </li></ul><ul><li>an identity matrix . </li></ul>
12. 12. TRIANGULAR MATRIX <ul><li>If every elements above or below the diagonal is </li></ul><ul><li>zero, the matrix is said to be triangular matrix. </li></ul>
13. 13. ADDITION /SUBTRACTION OF MATRIX <ul><li>If A , B be the two matrices of same type m * n , </li></ul><ul><li>then their sum A+B is defined as the matrix of </li></ul><ul><li>addition. </li></ul><ul><li>If A , B be the two matrices of same type , then </li></ul><ul><li>their difference A+B is defined as the subtraction </li></ul><ul><li>of matrix. </li></ul>
14. 14. PRODUCT OF MATRIX <ul><li>If A , B are two matrices of same type ,then their </li></ul><ul><li>product is A*B is defined as the matrix of </li></ul><ul><li>product. </li></ul>