Page 162 - Artificial Intellegence_v2.0_Class_11
P. 162

UNIT-3





                                                                          MATHS FOR AI

















                             Learning Outcomes



                •  Introduction to Matrices                              •  Order of Matrix
                •  Types of Matrices                                     •  Applications of Matrices in AI
                •  Operations on Matrices                                •  Vector Arithmetic
                •  Set Theory                                            •  Relational Algebra
                •  Set Operations                                        •  Introduction to Data Table Joins
                •  Simple Statistical Concepts                           •  Variance and Standard Deviation
                •  Visual Representation of Data                         •  Simple Linear Equation and Regression



              In  this  unit,  we  will  learn  about  various  mathematical  concepts  used  with  AI  like  matrices,  set  theory,  relational
              algebra, set operations, data table and various statistical concepts.

                      Introduction to Matrices

              The knowledge of matrices is necessary in all branches of Mathematics. Matrix is one of the most powerful tools in
              Mathematics. Compared with other methods, it greatly simplifies the calculations.
              In mathematics, a matrix (plural matrices) is a rectangular arrangement of numbers. The numbers are arranged in
              tabular form as rows and columns.
              Let us understand with the help of an example:
              Ganga bought 12 oranges 5 apples.
              Hemant bought 10 oranges 7 apples.
              Gargi bought 5 oranges 2 apples.
              The above information can be arranged in tabular form as follows:
                                           Oranges                      Apples
              Ganga                        12                           5
              Hemant                       10                           7
              Gargi                        5                            2
              And this can be represented as:
                                                                
                                                           Row1 12     5
                                                                       
                                                           Row2 10     7 − Squarebrackets
                                                                        
                                                                
                                                                
                                                           Row3 5      2   
                                                                
                                                               Col1   Col2
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