Lecture5andB6 - University of Toronto at Scarborough...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: University of Toronto at Scarborough Department of Computer & Mathematical Sciences MAT A23 Winter 2008 Lecture 5 Sophie Chrysostomou 1.3 Linear Systems and Matrices Matrices Addition Subtraction and Scalar Multiplication definition 0.1. Let A = [ a ij ] and B = [ b ij ] be m × n matrices and k be a scalar then: i) A + B is defined to be the matrix with ij th entry ( A + B ) ij = a ij + b ij ii) A- B is the matrix with ij th entry ( A- B ) ij = a ij- b ij iii) kA is the matrix with ij th entry ( kA ) ij = k a ij A matrix with zero entries only is called, a zero matrix and is denoted by O . example 0.2. Let A = 2- 1 3 2- 2 4 and B = 1 3- 2- 5 6- 7 . Find A + B and 2 A- 3 B . 1 definition 0.3. Let A be an n × m matrix and B be an m × k matrix. Then AB is defined to be the n × k matrix with the ij th entry given by ( AB ) ij = ( i th row of A ) · ( j th column of B ) . Letting a i be the i th row of A and b j be the j th column of B , then AB = -- a 1---- a 2-- ....
View Full Document

This note was uploaded on 05/22/2010 for the course MATH MATA23 taught by Professor Sophie during the Spring '10 term at University of Toronto- Toronto.

Page1 / 8

Lecture5andB6 - University of Toronto at Scarborough...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online