'Square matrix a' diaporamas de présentation

[PPT] x che.ncku.tw/facultyweb/changct/teaching/.../ch8. ppt Share

1.32k views • 79 slides

Chapter 2 Matrices

Chapter 2 Matrices. 2.1 Operations with Matrices 2.2 Properties of Matrix Operations 2.3 The Inverse of a Matrix 2.4 Elementary Matrices 2.5 Applications of Matrix Operations.

2k views • 68 slides

College Algebra Fifth Edition James Stewart ? Lothar Redlin ? Saleem Watson

784 views • 62 slides

Matrices

Matrices. Section 2.6 Monday, 2 June. Outline. Introduction Matrix Arithmetic: Sum, Product Transposes and Powers of Matrices Identity matrix, Transpose, Symmetric matrices Zero-one Matrices: Join, Meet, Boolean product. 2. Introduction.

907 views • 46 slides

Solution of Systems of Linear Equations

Solution of Systems of Linear Equations. Algebraic, transcendental (i.e., involving trigonometric and exponential functions), ordinary differential equations, or partial differential equations. Basic Terminology.

1.02k views • 40 slides

MAC 2103

MAC 2103. Module 3 Determinants. Learning Objectives. Upon completing this module, you should be able to: Determine the minor, cofactor, and adjoint of a matrix. Evaluate the determinant of a matrix by cofactor expansion. Determine the inverse of a matrix using the adjoint.

576 views • 33 slides

Representations of Integers

Representations of Integers. How can we construct the base b expansion of an integer n? First, divide n by b to obtain a quotient q 0 and remainder a 0 , that is, n = bq 0 + a 0 , where 0 ? a 0 < b. The remainder a 0 is the rightmost digit in the base b expansion of n.

483 views • 31 slides

Matrix Division

535 views • 24 slides

Chapter 2 (Part 4): The Fundamentals: Algorithms, the Integers & Matrices

Chapter 2 (Part 4): The Fundamentals: Algorithms, the Integers & Matrices. Matrices (Section 2.7). Introduction Express relationship between elements in set Solve large systems of equations Useful in graph theory. Definition 1

365 views • 22 slides

Chapter 3 (Part 4): The Fundamentals: Algorithms, the Integers & Matrices

Chapter 3 (Part 4): The Fundamentals: Algorithms, the Integers & Matrices. Matrices (Section 3.8). Introduction Express relationship between elements in set Solve large systems of equations Useful in graph theory. Definition 1

434 views • 22 slides

2014 ? ??? ????? ??????? ???

???? (Discrete Mathematics) ? ?? (Matrices). 2014 ? ??? ????? ??????? ???. Introduction. Matrices. A matrix (say MAY-trix) is a rectangular array of objects (usually numbers). ( ?? ? ?? ??? ???? .)

481 views • 19 slides

Matrices

562 views • 17 slides

Chapter 3

392 views • 15 slides

Row and column matrices are sometimes called row vectors and column vectors

Various Types of Matrices. Row and Column Matrices:. A matrix having a single row is called a row matrix . e.g., [ 1 2 3 4 ]. A matrix having single column is called a column. Row and column matrices are sometimes called row vectors and column vectors.

871 views • 14 slides

CS 285- Discrete Mathematics

283 views • 13 slides

Chapter 2 Determinants

347 views • 12 slides

2.4 The Inverse of a Matrix

2.4 The Inverse of a Matrix. Inverse of A Inverse of a 2x2 Matrix Matrix With No Inverse Solving a Matrix Equation. Inverse of A. The inverse of a square matrix A , denoted by A -1 , is a square matrix with the property A -1 A = AA -1 = I ,

511 views • 11 slides

Matrices

Matrices. A matrix is a rectangular array of quantities (numbers, expressions or function), arranged in m rows and n columns. 3 1 1 -2 -2 3 0. 2x 3y 4z. 5 -2 1. a11 a12 a13 a21 a22 a23 a31 a32 a33. 0 0 0 1 0 0 0 1. Special Matrices. Identity matrix. m = n Square matrix.

540 views • 8 slides

Eigenvalues and Eigenvectors

Eigenvalues and Eigenvectors. Computations And Geometry. Eigenvalues and Eigenvectors Let A be a matrix if there exists a scalar, and x a nonzero vector such that . We call an eigenvalue of the matrix A and x an eigenvector of the matrix A . is a Eigenvalue for A

756 views • 7 slides

MATRIX

MATRIX. A set of numbers arranged in rows and columns enclosed in round or square brackets is called a matrix. The order of a matrix gives the number of rows followed by the number of columns in a matrix. MATRIX. A matrix with an equal number of rows and columns is called a square matrix.

543 views • 6 slides