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Savannah State University Department of Mathematics MATH 3101 Linear algebra summer 2019 Class activity 1 Determine...
please help with this linear algebra question Question 10 [10 points] Let V be a vector...
please help with this linear algebra
question
Question 10 [10 points] Let V be a vector space and suppose that {u, v, w is an independent set of vectors in V. For each of the following sets of vectors, determine whether it is linearly independent or linearly dependent. If it is dependent, give a non-trivial linear combination of the vectors yielding the zero vector. a) {-v-3w, 2u+w, -u-2v} is linearly independent b) {-3v-3w, -u-w, -3u+3v} < Select an answer >
linear algebra- Linear independence Problems 1. Show that the following sets of vectors in R" are...
linear algebra- Linear independence
Problems 1. Show that the following sets of vectors in R" are linearly dependent: U = (-1,2,4) and V = (5.-10,--20) in R. (b) U = (3,-1), V =(4,5) and W = (-4,7) in R2. 2. Are the following sets of vectors in R3 linearly independent or linearly dependent? Show work. (-3,0,4), (5,-1, 2) and (1, 1,3) (b) (-2,0,1), (3, 2,5), (6,-1,1) and (7,0,-2)
LINEAR ALGEBRA (1) SECOND SEMSTER FINAL HOMEWORK (5) 31-5-2020 Question 6: a) Determine whether T :...
LINEAR ALGEBRA (1) SECOND SEMSTER FINAL HOMEWORK (5) 31-5-2020 Question 6: a) Determine whether T : R3 → R defined by T(x,y) = xy is linear transformation or not (show all the axioms ) b) Find u.v given that | u +v1=2 and u-v||=6 c) Let V and U be vectors in R” Then prove V.U\<|||||||||| A = 2 11 - 2 3 1-27 d) suppose 4 1, V = 0,U = 2 -1 0 5 4 1) Determine whether...
Linear Algebra 6. (8pt) (a) Find a subset of the vectors v1 = (1, -1,5,2), V2...
Linear Algebra
6. (8pt) (a) Find a subset of the vectors v1 = (1, -1,5,2), V2 = (-2,3,1,0), V3 =(4,-5, 9,4), V4 = (0,4,2, -3) V5 = (-7, 18, 2, -8) that forms a basis for the space spanned by these vectors. (b) Use (a) to express each vector not in the basis as a linear combination of the basis vectors. (c) Let Vi V2 A= V3 V4 Use (a) to find the dimension of row(A), col(A), null(A), and of...
Mathematics IA Assignment 2 Semester 2, 2019 Algebra (a) You are given the following four linear...
Mathematics IA Assignment 2 Semester 2, 2019 Algebra (a) You are given the following four linear equations: 2=2r4+4 -12-2-3r3, 124 x3. Write down a corresponding augmented matrix (b) A linear system has the following augmented matrix, 0 21 1 0-3 -1 2 5 (i) Use Gauss-Jordan elimination to bring the augmented matrix into reduced row echelon form. You must show your steps and, at each step, write down the elementary row operations that you are using. (ii) Hence write down...
Project: MATH 213 - Linear Algebra Instructor: Dr. I. Aksikas Due Date: May 02, 2019 Exercise 1. ...
Project: MATH 213 - Linear Algebra Instructor: Dr. I. Aksikas Due Date: May 02, 2019 Exercise 1. Start Matlab and enter the following matrices 0.5 0.35 0.15 B=10.35 0.6 0.05 0.15 0.05 0.8 1, c=112 -3 2 1 4-6 Type the following (a) Did Matlab refuse to do any of the requested calculations? Why? (b) Is (A' +A)/2 symmetric? Is this is correct for any square matrix? Prove or disprove
Project: MATH 213 - Linear Algebra Instructor: Dr. I. Aksikas...
Answer in following concerning span and linear combinations a) describe circumstance in which the...
answer in following concerning span and linear combinations a) describe circumstance in which the span vectors {u,v,w} is a plane in R3 b) determine if given vector w is a linear combination of vector v1 = <1,2> and vector v2 = <1,3>. If it is, find a, b such that vector w = aV1 + bV2 (v1,v2 are vectors). Use vector w = <1,-5>
Clayton State University Department of Chemistry and Physics January 23, 2019 Physics 3454-Quiz 2 Name Pho...
Clayton State University Department of Chemistry and Physics January 23, 2019 Physics 3454-Quiz 2 Name Pho T 1. Express the force as a Cartesian vect F 900 N 2 m 7 m 2. Project this force onto an OA direction where O is the origin of the coordinate system.
Please explain steps too thanks Given the vectors u (1,2,3) and v (2,2,-1): (a) Determine u...
Please explain steps too thanks
Given the vectors u (1,2,3) and v (2,2,-1): (a) Determine u v. (b) Determine u + 2v. (c) Write w (-2,2,15) as a linear combination of u and v if possible.
1-4 Key Question #15 (Total: 25 marks) 1. The diagram below shows two squares. Express each difference as a single...
1-4
Key Question #15 (Total: 25 marks) 1. The diagram below shows two squares. Express each difference as a single vector. Show all intermediate steps (i.e. equivalent vectors that you need to use to solve for the difference) (6 marks: 1/1/2/2) -ED a. DB-DE b. BE-BA d. AE c. AC-BD E D C A 2. Copy each set of vectors and draw u-- v. (4 marks: 1/2/1) b. C. a Copyright 2008, St. Charles Adult and Continuing Education Page 43...
please help with this linear algebra
question
Question 10 [10 points] Let V be a vector space and suppose that {u, v, w is an independent set of vectors in V. For each of the following sets of vectors, determine whether it is linearly independent or linearly dependent. If it is dependent, give a non-trivial linear combination of the vectors yielding the zero vector. a) {-v-3w, 2u+w, -u-2v} is linearly independent b) {-3v-3w, -u-w, -3u+3v} < Select an answer >
linear algebra- Linear independence
Problems 1. Show that the following sets of vectors in R" are linearly dependent: U = (-1,2,4) and V = (5.-10,--20) in R. (b) U = (3,-1), V =(4,5) and W = (-4,7) in R2. 2. Are the following sets of vectors in R3 linearly independent or linearly dependent? Show work. (-3,0,4), (5,-1, 2) and (1, 1,3) (b) (-2,0,1), (3, 2,5), (6,-1,1) and (7,0,-2)
LINEAR ALGEBRA (1) SECOND SEMSTER FINAL HOMEWORK (5) 31-5-2020 Question 6: a) Determine whether T : R3 → R defined by T(x,y) = xy is linear transformation or not (show all the axioms ) b) Find u.v given that | u +v1=2 and u-v||=6 c) Let V and U be vectors in R” Then prove V.U\<|||||||||| A = 2 11 - 2 3 1-27 d) suppose 4 1, V = 0,U = 2 -1 0 5 4 1) Determine whether...
Linear Algebra
6. (8pt) (a) Find a subset of the vectors v1 = (1, -1,5,2), V2 = (-2,3,1,0), V3 =(4,-5, 9,4), V4 = (0,4,2, -3) V5 = (-7, 18, 2, -8) that forms a basis for the space spanned by these vectors. (b) Use (a) to express each vector not in the basis as a linear combination of the basis vectors. (c) Let Vi V2 A= V3 V4 Use (a) to find the dimension of row(A), col(A), null(A), and of...
Mathematics IA Assignment 2 Semester 2, 2019 Algebra (a) You are given the following four linear equations: 2=2r4+4 -12-2-3r3, 124 x3. Write down a corresponding augmented matrix (b) A linear system has the following augmented matrix, 0 21 1 0-3 -1 2 5 (i) Use Gauss-Jordan elimination to bring the augmented matrix into reduced row echelon form. You must show your steps and, at each step, write down the elementary row operations that you are using. (ii) Hence write down...
Project: MATH 213 - Linear Algebra Instructor: Dr. I. Aksikas Due Date: May 02, 2019 Exercise 1. Start Matlab and enter the following matrices 0.5 0.35 0.15 B=10.35 0.6 0.05 0.15 0.05 0.8 1, c=112 -3 2 1 4-6 Type the following (a) Did Matlab refuse to do any of the requested calculations? Why? (b) Is (A' +A)/2 symmetric? Is this is correct for any square matrix? Prove or disprove
Project: MATH 213 - Linear Algebra Instructor: Dr. I. Aksikas...
Clayton State University Department of Chemistry and Physics January 23, 2019 Physics 3454-Quiz 2 Name Pho T 1. Express the force as a Cartesian vect F 900 N 2 m 7 m 2. Project this force onto an OA direction where O is the origin of the coordinate system.
Please explain steps too thanks
Given the vectors u (1,2,3) and v (2,2,-1): (a) Determine u v. (b) Determine u + 2v. (c) Write w (-2,2,15) as a linear combination of u and v if possible.
1-4
Key Question #15 (Total: 25 marks) 1. The diagram below shows two squares. Express each difference as a single vector. Show all intermediate steps (i.e. equivalent vectors that you need to use to solve for the difference) (6 marks: 1/1/2/2) -ED a. DB-DE b. BE-BA d. AE c. AC-BD E D C A 2. Copy each set of vectors and draw u-- v. (4 marks: 1/2/1) b. C. a Copyright 2008, St. Charles Adult and Continuing Education Page 43...
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