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Matrix and its operation (addition, subtraction, multiplication)
- 1. Matrix And It’s Operation (Addition,Subtraction & Multiplication).
- 2. Submitted To: Submitted By: MD.Mohiuddin Lecturer Department Of Natural Science Daffodil International University Nirnay Mukharjee ID :– 143 - 15 – 4421 Department Of CSE Daffodil International University
- 3. Index About Matrices Matrix Addition MatrixSubtraction Matrix Multiplication
- 4. About Matrices Amatrix is a rectangular arrangement of numbers in rows and columns. Rows run horizontally and columns run vertically. The dimensions of a matrix are stated “m x n” where ‘m’ is the number of rows and ‘n’ is the number of columns.
- 5. •Only matrices withthe same dimensions can be added or subtracted. •The resulting matrix has the same dimension of the two matrices being added or subtracted. Matrix Addition And Subtraction
- 6. Example Of MatrixAddition 1. −2 0 4 3 −10 12 3 −2 −2 + −4 6 0 −15 2 −4 6 7 1 6 6 4 12 8 8 9 5 1 − − − − −2 − 4 0 + 6 4 + 0 3 −15 −10 + 2 12 − 4 3 + 6 −2 + 7 −2 + 1 Add the corresponding elements in each matrix
- 7. 3. 2 −18 20 −5 − −4 2 −5 1 2 − (−4) −18 − 2 20 − (−5) −5 −1 6 −20 25 −6 Example Of Matrix Subtraction
- 8. Matrix Multiplication In Matrix Multiplication,if A is an n × m matrix and B is an m × p matrix, their matrix product AB is an n × p matrix. In which the n entries across a row of A are multiplied with the p entries down a columns of B and summed to produce an entry of AB.
- 9. Example Of Matrix Multiplication A= B =1 2 3 4 5 6 7 8 9 1 5 9 7 2 9 3 8 1 AB = 1x2+2x7+3x3 1x5+2x2+3x8 1x9+2x9+3x1 4x1+5x7+6x3 4x5+5x2+6x8 4x9+5x9+6x1 7x1+8x7+9x3 7x5+8x2+9x8 7x9+8x9+9x1
- 10. AB = 25 3330 57 78 87 90 123 144
- 11.