ARRAY DIVISION Identity matrix Islamic University of Gaza

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Presentation transcript:

ARRAY DIVISION Identity matrix Islamic University of Gaza Faculty of Engineering Civil Engineering Department ARRAY DIVISION Identity matrix Computer Programming Lecture 7

Islamic University of Gaza Faculty of Engineering Civil Engineering Department Computer Programming Lecture 7

The matrix B is the inverse of the matrix A if, when the two Islamic University of Gaza Faculty of Engineering Civil Engineering Department Inverse of a matrix: The matrix B is the inverse of the matrix A if, when the two matrices are multiplied, the product is the identity matrix. Both matrices must be square. Computer Programming Lecture 7

Islamic University of Gaza Faculty of Engineering Civil Engineering Department Computer Programming Lecture 7

Islamic University of Gaza Faculty of Engineering Civil Engineering Department Computer Programming Lecture 7

Determinants: Islamic University of Gaza Faculty of Engineering Civil Engineering Department Determinants: Computer Programming Lecture 7

Array division: Left division, \ : Islamic University of Gaza Faculty of Engineering Civil Engineering Department Array division: MATLAB has two types of array division, right division and left division Left division, \ : Left division is used to solve the matrix equation AX = B. The solution X is obtained numerically using a method that is based on Gauss elimination Computer Programming Lecture 7

The right division is used to solve the matrix equation XC = D. Islamic University of Gaza Faculty of Engineering Civil Engineering Department Right division, I : The right division is used to solve the matrix equation XC = D. Computer Programming Lecture 7

Islamic University of Gaza Faculty of Engineering Civil Engineering Department Computer Programming Lecture 7

Islamic University of Gaza Faculty of Engineering Civil Engineering Department Computer Programming Lecture 7

Islamic University of Gaza Faculty of Engineering Civil Engineering Department Computer Programming Lecture 7

ELEMENT-BY-ELEMENT OPERATIONS Islamic University of Gaza Faculty of Engineering Civil Engineering Department ELEMENT-BY-ELEMENT OPERATIONS Computer Programming Lecture 7

Islamic University of Gaza Faculty of Engineering Civil Engineering Department Computer Programming Lecture 7

Islamic University of Gaza Faculty of Engineering Civil Engineering Department Computer Programming Lecture 7

Islamic University of Gaza Faculty of Engineering Civil Engineering Department Computer Programming Lecture 7

Islamic University of Gaza Faculty of Engineering Civil Engineering Department Computer Programming Lecture 7

Islamic University of Gaza Faculty of Engineering Civil Engineering Department Computer Programming Lecture 7

Islamic University of Gaza Faculty of Engineering Civil Engineering Department Computer Programming Lecture 7

Islamic University of Gaza Faculty of Engineering Civil Engineering Department Computer Programming Lecture 7