Concept explainers
Determine by inspection whether the
16.
Trending nowThis is a popular solution!
Chapter 1 Solutions
Linear Algebra and Its Applications (5th Edition)
Additional Math Textbook Solutions
College Algebra with Modeling & Visualization (5th Edition)
College Algebra (10th Edition)
Intermediate Algebra for College Students (7th Edition)
Linear Algebra with Applications (9th Edition) (Featured Titles for Linear Algebra (Introductory))
Intermediate Algebra (7th Edition)
Elementary and Intermediate Algebra
- Take this test to review the material in Chapters 4and Chapters 5. After you are finished, check your work against the answers in the back of the book. Write w=(7,2,4) as a linear combination of the vectors v1, v2 and v3 if possible. v1=(2,1,0), v2=(1,1,0), v3=(0,0,6)arrow_forwardDetermine whether each vector is a scalar multiple of z=(3,2,5). a v=(92,3,152) b w=(9,6,15)arrow_forwardDetermine by inspection whether the vectors are linearly independent. Justify your answer. 300 - 3 5 Choose the correct answer below. O A. The set of vectors is linearly dependent because (Type an integer or a simplified fraction.) times the first vector is equal to the third vector. OB. The set of vectors is linearly independent because (Type an integer or a simplified fraction.) O C. The set of vectors is linearly dependent because one of the vectors is the zero vector. O D. The set of vectors is linearly independent because none of the vectors are multiples of the other vectors. times the first vector is equal to the second vector.arrow_forward
- Defermine if the set of vectors is limeorly iedepandlant. -5 3 -4 (2) v = 3.8/10arrow_forward-9 Determine whether or not A = 25 is diagonalizable. Justify your answer. 1arrow_forwarda. Write the vector (-4,-8, 6) as a linear combination of a₁ (1, -3, -2), a₂ = (-5,–2,5) and ẩ3 = (−1,2,3). Express your answer in terms of the named vectors. Your answer should be in the form 4ả₁ + 5ả₂ + 6ẩ3, which would be entered as 4a1 + 5a2 + 6a3. (-4,-8, 6) = -3a1+a2+2a3 b. Represent the vector (-4,-8,6) in terms of the ordered basis = {(1, −3,−2), (-5, -2,5),(-1,2,3)}. Your answer should be a vector of the general form . [(-4,-8,6)] =arrow_forward
- Determine by inspection whether the vectors are linearly independent. Justify your answer. 3 -2 0 3 Choose the correct answer below. O A. The set of vectors is linearly independent because (Type an integer or a simplified fraction.) times the first vector is equal to the second vector. OB. The set of vectors is linearly dependent because (Type an integer or a simplified fraction.) C. The set of vectors is linearly dependent because one of the vectors is the zero vector. O D. The set of vectors is linearly independent because none of the vectors are multiples of the other vectors. times the first vector is equal to the third vector.arrow_forwardIllustrate with an example and a diagram why a+b=6+a¯ for all vectors a and barrow_forward3 3. Let V = 5. Find vectors b₁,b2, b3 such that is a linear combination of b₁,b₂, b3. Additional -H conditions are that b₁,b₂, b3 should have only non-zero entries and be linearly independent. Explain your thinking using complete sentences.arrow_forward
- il Zong CMPak A O 89% Iqra Math 5 minutes ago 5. Determine whether the set of vectors are linearly de- pendent or independent. Explain results why? Write clean, and clear. Show steps of calculations. 4. 3. -1 -2 -2 and v4= V1 = 3. V2 = V3 = -5 3arrow_forwardIn Exercises 1-4, determine if the vectors are linearly independent. Justify each answer. 7 000 1 2 -1 -6 1. 5 6arrow_forwardplease answerarrow_forward
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage