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Engr 231 Homework 4

# Engr 231 Homework 4 - ENGR 231 LINEAR ENGINEERING SYSTEMS...

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ENGR 231 Fall 2011 Assignment 4 1 ENGR 231: LINEAR ENGINEERING SYSTEMS Fall 2011-12 ASSIGNMENT 4 Due October 25-28, 2011 COVER SHEET NAME: ___________________________________________ SECTTION: _______________________________________ GRADE (to be entered by grader): ______________________ Recitation problems . You may be required so solve one of the following problems at the board during recitation. These problems will be discussed during the second week of the course. R1 . Section 2.1, Problem 2. Compute the following, if the expression is defined. A + 2 B, 3 C – 3 E, DC, EB R2 . Section 2.1, problem 12. A = 3 ! 6 ! 1 2 " # \$ % & ' Construct a 2x2 matrix B such that AB is the zero matrix. Use different nonzero columns for B . R3 . Use the inverse to solve the following set of equations: R4 . Suppose P and Q are invertible and A = PBQ -1 . Solve for B in terms of A , P , and Q . R5 . Mark each statement as True or False. Justify your answer. a. If A and B are 2x2 matrices with columns a 1 , a 2 , and b 1 , b 2 , respectively, then AB =[ a 1 b 1 а 2 b 2 ]. b. Each column of AB is a linear combination of the columns of B using weights from the corresponding column of A .

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