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For Problems 6-9, determine
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Differential Equations and Linear Algebra (4th Edition)
- Solve for X in the Equation, given A=-401-532 and B=12-2144 a 3X+2A=B b 2A5B=3X c X-3A+2B=0 d 6X4A-3B=0arrow_forwardLet A - [23] Write b as a linear combinations of the columns of A -1 [3] 7 Hamm and b b=a₁+ a2arrow_forward3. If a = 3x - 5ỹ and b = -2x +9y, write the vector 5a-86 in terms of x and yarrow_forward
- a. 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_forwardThe equation Ax = 0 is equivalent to saying that x is orthogonal to all of the columns of A. O True O Falsearrow_forwardIf possible, find a linear combination of the form w = a₁v₁ + a₂₂ + 3⁄³ where v₁ = (2, −1, 4), v₂ = (3, 0, 1), v3 = (1, 2, −1), and w = (-7, 1, 5). (Give a, a, and a3 as real numbers. If w cannot be written as a linear combination of the other three vectors, enter DNE.) (₁₁²₂₁²3) =arrow_forward
- Given the following vectors, - 1 3 2 . %=| 1 . 7 2 -3 2. Determine whether the vectors are independent of each other or not by testing and P4 BrtBt+B²;+B=0. for all ß ,P2 B. Question: In continuation from the previous question, express x, in terms of and x, by entering your answers. X1 + X3 + X4 %3D Special instructions: Enter answers in fraction form only. Express in lowest terms. Other answers will not be accepted.arrow_forward1. calculate the following: a. (-3x2y2) X (-2x3y) X (-3y2) b. (-5x23) X (-2x3y2) X z4 c. 3y2z X (-4y2x) X (x2y)3 d. 4x2y3z2 X x3y2z3 X (-2xz3) e. (-3yz)2 X (2x2)3 X (x2y3)2 f. 3xyz2 X x3y2 X 2xy4 g. 6x2z2 X 2x3z X (x2y)3arrow_forward6. -2 Write -7 as a linear combination of the vectors 4 -1 一日一日一日 6. -2 -7 2 4arrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningElementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning