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Determine by inspection whether the
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Linear Algebra and Its Applications (5th Edition)
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- Use a software program or a graphing utility to write v as a linear combination of u1, u2, u3, u4, u5 and u6. Then verify your solution. v=(10,30,13,14,7,27) u1=(1,2,3,4,1,2) u2=(1,2,1,1,2,1) u3=(0,2,1,2,1,1) u4=(1,0,3,4,1,2) u5=(1,2,1,1,2,3) u6=(3,2,1,2,3,0)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_forwardTake 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_forward
- Determine by inspection whether the vectors are linearly independent. Justify each answer.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_forwardConsider the statement The set of vectors - 4 3 -3 (1960 5 4 -3 -3 -4 5 5 2 4 is linearly dependent. a. Write an equivalent statement using a vector equation. b. Explain why your statement is true or false.arrow_forward
- 3 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_forwardil 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_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
- -9 Determine whether or not A = 25 is diagonalizable. Justify your answer. 1arrow_forwardDetermine 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_forwardDetermine if b is in the span of the other given vectors. If so, express b as a linear combination of the other vectors. (If b cannot be written as a linear combination of the other two vectors, enter DNE in both answer blanks.) b = ~D~¤·¤] a₂ = X b = 3 Xarrow_forward
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage