Clier URC Inde C Fine V Oop Cou * Uplc 1 15 B ha.ca th-122-c01-c02 / assignment10 / 18 Previous Problem Problem List Next Problem Assignment10: Problem 18 (1 point) Write the complex number z = -4 + 8i in polar form: z = r(cos 0 + ising) where T = and 0 =] The angle should satisfy 0 of multiplicity 2 with corresponding eigenvector v. Find ) and V. * = | has an eigenvector v = Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 3 attempts remaining Email InstructorAssignment10: Problem 17 (1 point) Solve the following equations for z: (a) iz = 4 - zi Z i Z (b) = 1 - 52 1 - Z z= \\+ 2 , (c) (2 - 2) z + 822 = 0 (This question has two solutions, one of which is 0, find the other) 2 =1 + i . Note: You can earn partial credit on this problem Preview My Answers Submit Answersth-122-c01-c02 / assignment10 / 16 Previous Problem Problem List Next Problem Assignment10: Problem 16 (1 point) Write the following numbers in a + bi form: 3+ 2i (a) 4+ i (b ) - Ai 4i (c) (-2)3 Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 3 attempts remaining. Email InstructorPrevious Problem Problem List Next Problem The matrix 4 -12 A = -12 4 1 - 12 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace. The eigenvalue >1 is and a basis for its associated eigenspace is The eigenvalue 12 is and a basis for its associated eigenspace is Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 3 attempts remaining. hp 13 14 15 16 QD 17 ED 18 0 10 112 7 VA 5 4 5 6 E R T O P 1 F 2 3 D G K C N O B M310-math-122-c01-c02 / assignment10 / 9 Previous Problem Problem List Next Problem Assignment10: Problem 9 (1 point) Find the characteristic polynomial PA() of the matrix PA(2) = Preview My Answers Submit Answers You have attempted this problem 0 times. You have 3 attempts remaining. Email Instructor earch hp F3 C f4 10) f5 17 8 9 7 8 9 E Z 5 6 4 5 W E R T Y UC Find the 8 Calpe Course Uplos 1 Client s X 1 15 But 1 Indeed cureginace webwork2/202310-MATH-122-C01-CO2/Assignment10/8/TeffectiveUser =2004852468keys shDdUWFi8:312b/C37PEk w University of Regina 10-math-122-c01-c02 / assignment10 / 8 Previous Problem Problem List Next Problem Assignment10: Problem 8 (1 point) Find the three distinct real eigenvalues of the matrix 1 B = - 8 0 The eigenvalues are . (Enter your answers as a comma separated list.) Preview My Answers Submit Answers You have attempted this problem 0 times. You have 3 attempts remaining. Email Instructor arch O P hpCourse 1 Client 1 15 Bus x 1 indeed x C Findth * G Qlfox Course X WeBW X 42/382319-MATH-122-C01-CO2/Assignment 10/7/?keys ahDdUWF180s31:2b/C37PEtnKPxos7x&effectiveUser = 2004852468user = 200485246 University Log of Regina -122-001-c02 / assignment10 / 7 Previous Problem Problem List Next Problem Assignment10: Problem 7 (1 point) Find the eigenvalues of the matrix A = [11 -161 -13 The eigenvalues are (Enter your answers as a comma separated list. The list you enter should have repeated items if there are eigenvalues with multiplicity greater than one.) Preview My Answers Submit Answers You have attempted this problem 0 times. You have 3 attempts remaining. P hp 15 17 0 f10 60 scroll 7 9 4 R 4 6 O P 2math-122-c01-c02 / assignment10 / 6 Previous Problem Problem List Next Problem Assignment10: Problem 6 (1 point) Given that V1 = [-3] and va - 10 are eigenvectors of the matrix 29 -90 A CO 28 determine the corresponding eigenvalues. 21 = 12 = Note: You can earn partial credit on this problem. Preview My Answers Submit Answers hp f3 f4 16 $7 D) FO F10 7 8 9 $ 4. E 5 8 4 5 V E R T UProblem Problem List Next Problem (1 point) Which of the following sets of vectors are linearly independent? (Check the boxes for linearly independent sets.) c. { [! . } Preview My Answers Submit Answers O hp 16 17 02 18 10 Ca 112 13 7 C O 3 4 51 6 R U 1 2 3 D F G H K OPrevious Problem Problem List Next Problem Assignment10: Problem 5 (1 point) Let S be a set of linearly dependent vectors in IR. Select the best statement. O A. The set S does not span I" if some vector in S is a scalar multiple of another vector in the set. O B. The set S spans IR", as long as no vector in S is a scalar multiple of another vector in the set. O C. The set S could, but does not have to, span R". O D. The set S must span ". O E. The set S cannot span R". OF. The set S spans R", as long as it does not include the zero vector. O G. none of the above Preview My Answers Submit Answers 13 15 f6 D 110 (7 5 S C 4 5 R 2 D G H K B N M O X akt orWeBW CoSpo. & Cospe Course Uplose 1 Clients > 1 15 Bus 1 Indeed x C Find th X Galfou X Course X ebwork1.ccuregina.ca 2/202310-MATH-122-CO1-CO2/Assignment10/3/?user= 200485246&effectiveUser= 200485246&key=ahDdUWFiGOs312b/C37PEktnKPxos7% Previous Problem Problem List Next Problem Assignment10: Problem 3 (1 point) Let Are the vectors V1, V2 and v3 linearly independent? choose If the vectors are independent, enter zero in every answer blank since zeros are only the values that make the equation below true. If they are dependent, find numbers, not all zero, that make the equation below true. You should be able to explain and justify your answer. Note: In order to get credit for this problem all answers must be correct. Preview My Answers Submit Answers You have attempted this problem 0 times. arch PS -120 hp 13 CO 14 10! (5 16 CCD 17 18 0 19 10 112 scroll P 7 9 5 E 4 5 6 D 2 3CoSpo Course Upload 1 Client S X 1 15 Busi X 1 Indeed x C Find the X @ @lfou x & Course X WeBW X a.ca/webwork2/202310-MATH-122-CO1-CO2/Assignment 10/4/?key= ahDdUWFi8Os31i2bJC37PEktnKPxds7x&effectiveUser=200485246&user=200485246 Previous Problem Problem List Next Problem Assignment10: Problem 4 (1 point) Let V1, V2, and v3 be the vectors in R's defined by 16 30 V1 V2 = -3 V3 = -3 - 5 17 (a) Is {V1, V2, V3} linearly independent? Write all zeros if it is or if it is linearly dependent write the zero vector as a non-trivial (not all zero coefficients) linear combination of V1, V2, and V3- 0 =vitv2+v3 (b) Is { V1, V3} linearly independent? Write all zeros if it is or if it is linearly dependent write the zero vector as a non-trivial (not all zero coefficients) linear combination of V1 and V3. 0 =v1+v3 (c) Type the dimension of span { v1, V2, V3}: Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times 9 P -12*C Sunny hp 16 CD 110 03 scroll pause 13 14 10) 19 9 % & back 5 CCourse Clients X 15 0us X 1) indeed X C Find the X QHov X & Course X WeBW X Cuireginaca webwork 2/202310.184TH-122-CO1-C02/Assignment 10/2/tuser= 200485246&.effectiveUser=2004852460(key=ahDdUWFi80s302bJC37PEkinkPxds7x Previous Problem Problem List Next Problem Let Are the vectors V1, V2 and V3 linearly independent? choose If the vectors are independent, enter zero in every answer blank since zeros are only the values that make the equation below true. If they are dependent, find numbers, not all zero, that make the equation below true. You should be able to explain and justify your answer. Note: In order to get credit for this problem all answers must be correct. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 3 attempts remaining. Email Instructor hip 13 14 0) 6 CD 17 09 18to 19 f10 03 112 scroll 9 Wm 5 6 g C O 4 5 G E O