# Lecture 7 - ENGR-1100 Introduction to Engineering Analysis...

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ENGR-1100 Introduction to Engineering Analysis Lecture 7 Notes courtesy of: Prof. Yoav Peles

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Important Information! Today we use L.A.S Textbook again!
Homework Assignment (from L.A.S textbook; due next class) Set 1.4-4 f-h Set 1.5-3 Set 1.5-6

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Lecture outline Matrix and Matrix operations Rules of matrix arithmetic
Definition: A matrix is a rectangular array of numbers 2 2 -2 0 -1 -1 2 2 π -2 0 sin(2) -1 -1 e 2 2 π -3 The size of the matrix m x n . Where m the number of rows and n the number of columns.

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Capital letters denote matrices Lower case letters denote numerical quantities 2 2 -2 0 -1 -1 A= 2 2 π -3 C= In a square matrix m = n a 11 a 12….… a 1n a 21 a 22….… a 2n : : : A= a 11 , a 22….… a nn are on the main diagonal
Definition 1: equal matrices Matrix are said to be equal if they have: (i) the same size, and (ii) the corresponding entries in the two matrices are equal. 2 2 -2 0 -1 -1 A= 1 2 -2 0 3 -1 B= 2 2 1 -2 0 2 -1 -1 2 C= A=B; B=C; A=C

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Definition 2: sum of matrices
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## This note was uploaded on 04/04/2011 for the course ENGR 1100 taught by Professor Anderson during the Fall '06 term at Rensselaer Polytechnic Institute.

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Lecture 7 - ENGR-1100 Introduction to Engineering Analysis...

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