This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: c Kendra Kilmer August 18, 2011 Section 2.4  Matrices Definitions: 1. A matrix is an ordered rectangular array of numbers. A matrix with m rows and n columns has size m × n . The entry in the i th row and j th column is denoted by a ij . 2. A row matrix is a matrix of size 1 × n . 3. A column matrix is a matrix of size m × 1. 4. Two matrices are equal if they have the same size and equal corresponding entries. Example 1: Given the following matrix equation, what are the values of a , b , and c ? a 5 6 3 b + 4 = 8 2 c 15 6 19 Matrix Operations: 1. Addition (You can only add matrices that have the same size) Example 2: Perform the following matrix operation: 1 2 3 4 + 4 5 6 7 2. Subtraction (You can only subtract matrices that have the same size) Example 3: Perform the following matrix operation: 1 2 3 4 4 5 6 7 3 c Kendra Kilmer August 18, 2011 3. Transpose: The transpose of an m × n matrix A with entries a ij is the n × m matrix A T with entries a ji ....
View
Full Document
 Fall '08
 JillZarestky
 Linear Algebra, Multiplication, Matrices, Row vector

Click to edit the document details