PPT-Determinant Hung-yi Lee The

determinant of a square matrix is a scalar that provides information about the matrix eg invertible or not Determinants in High School 2 X 2 3 x 3              . 01 If 11 12 21 22 we de64257ne the determinant of also denoted by det to be the scalar det 11 22 12 21 The notation 11 12 21 22 is also used for the determinant of If is a real matrix there is a geometrical interpretation of de If *Correspondence to: Dr. Hung-Lung Hung, Department of Anesthesiology, Far-Eastern Memorial Hospital,21, Nan-Ya South Road, Panchiao 220, Taipei, Taiwan, R.O.C.E-mail:hung9753@yahoo.com.tw Received: Ju Section 2. Lemma 2.2.1. Let . i. =1 and . j. =2, then . Lemma 2.2.1. Let . i. =1 and . j. =2, then . Lemma 2.2.1. Let . i. =1 and . j. =2, then . Lemma 2.2.1. Let . i. =1 and . j. =2, then . Lemma 2.2.1. Ithaca, NY 14850Website: http://www.math.cornell.edu/~hungtran Education PresentCornell University, Ithaca, New York Research Interests Geometric Analysis,Ricci flow, Heat Equation, Harnack Inequaliti Introduction. Tran . Hung Dao was born in Vietnam in 1929. He had 3 times beaten Mongolia at war. He made a famous poem called: . Hich Tuong Si.. When he was a kid, he loved to study martial arts so his dad found lots of people to teach all kinds of martial art. When he was big he has 4 boys and 1 girl. Determinants. If is a square matrix of order 1, . then |A| = | a. 11. | = a. 11. If is a square matrix of order 2, then. |A| = . = a. 11. a. 22. INSTALLATION INSTRUCTIONSWALL HUNG LAVATORIES Unpack the lavatory.Take a moment to check thefixture to make sure there is no damage. Verify that 1 2 PRE INSTALLATION 3 Floor HangerLocation C-L of 2 x 37. . Determinants. Determinants. Standard. What is a determinant and how is it used?. Essential Question. A4b Find the inverses of two by two matrices. Associated with every . square. matrix is a whole number called the . Determinants by Cofactor Expansion. Evaluating Determinants by Row Reduction. Properties of the Determinant Function. A Combinatorial Approach to Determinants. 2. Theorems . Theorem 2.2.1. Let . A. be a square matrix. Bell Ringer. : You’re the manager of a local Pizza Hut, and you find out that you will have to raise the price of your pizzas you sell. . Predict. what will happen to the demand of pasta that is ordered by customers. (1 sentence). . DETERMINANT. a “determinant” is a certain . kind of . function that associates a real number with a square . matrix. We will . obtain a formula for the inverse of an invertible matrix as well as . b. Solve for x: .  . MATRICES. MATRIX OPERATIONS. A matrix is a rectangular arrangement of numbers in rows and columns. Rows run horizontally and columns run vertically.. The dimensions of a matrix are stated “. The Properties of the Determinant. (1) The determinant of the n by n identity matrix is 1.. (2) The determinant changes sign when two rows are exchanged (sign reversal). ：. (3) The determinant is a linear function of each row separately. Engineering Analysis Chapter 2 Determinants 1 2.1 The Determinant of a Matrix With each n × n matrix A it is possible to associate a scalar, det (A), whose value will tell us whether the matrix is nonsingular. Before proceeding to the general