2008 Exam 2 Spring Solutions

# 2008 Exam 2 Spring Solutions - , \ A, _ : MK?” H “)1,...

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Unformatted text preview: , \ A, _ : MK?” H “)1, Kc; U ' V] _ Ht ov-l O 2,: 4,“? 1371 ‘t 0YD~\’0,o-;1122“li Movawm an t“ =L o 'l" O I answer for each of the following and circle '5 I 7. § ‘ t” b Problem 6.( 10 pts total, 2 each)Select the est 1.! 5 l, " K" choice, 1 ‘ ‘ A. If X15 3. square matrix and X‘ * [01. then which at t a X is singular 1 . '~ {) _ vudj (b) (MOO-*0 (En-l) i he following is NOT necessarily truc',’ 1. o \°t \ 0V"t P (dl the rows of X are linearly dependent _....\-—---"' We); all. of the above must be true W 13. ‘ It A is a 3135 matrix, B is :1 4X3 matrix. and C is a 5x4 matrix, which of the following is NOT deﬁned? ' M.) (3) (AA )‘ mm“ b (cert)2 gmin‘sss “ “FT, , ‘0 (AC): TSXGQKUI ‘ 5X 'Kk Ifig'BxSﬁxvl (c) more than one of the above is NOT deﬁned C. If the rum matrix A is invertible, then @ero cannot be an eigenvalue of A ('0) A must be diagonablc (c) A cannot have repeated eigenvalues (d) if A is real it cannot have complex eigenvalues d 4 columns and det( A )=2.1. th A‘VJ m—Yvd) M en the system of equations = B has: D. ‘ifmatrix A has 4 rowsan 1:4) :5 xcﬁ‘tn (a no solution; xaetly 1 solution; (c) exactly 2 solutions; (d) an inﬁnite number of poss (c) all of the above are possible. lumns and rank( _A_ )= 4, then the system of e WM ‘5) \ ’Wl ible solutions; E. If matrix _A_ has4 rows and 4 co qualions = B has; (b) no solution; ( exactly 1 solution; Ru; UK“: ((1) exactly 2 solutions; (e) an inﬁnite number 0 (i) all are possible. f possible solutions; an eigenvector after two iterati< Problem '7.( 10 pts)If A =(Z , ﬁnd the approximation to r method, beginniig with the vector 1] ‘e’. v}? *7 91"-3/ «FL \> powe ...
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## This note was uploaded on 04/15/2011 for the course ECE 2331 taught by Professor Barr during the Spring '08 term at University of Houston.

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2008 Exam 2 Spring Solutions - , \ A, _ : MK?” H “)1,...

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