This problem is a continuation of the previous problem. a. Let us define vectors Show that...
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This problem is a continuation of the previous problem. a. Let us define vectors Show that *-[-²-[1] V2 = Av₁ = V₁. Av₂ = -0.3v₂. b. Suppose that x₁ = C₁V₁+0₂V₂ where c₂ and c₂ are scalars. Use the Linearity Principle expressed to explain why X₂ = AX₁ = C₁V₁-0.302V2. c. Continuing in this way, explain why X3 = Ax₂ = C₁V₁ + (-0.3)²c₂V₂ X₁ = Ax3 = C₁V₁ + (-0,3)³c₂V₂. X5 = Ax₁ = C₁V₁ + (-0.3)¹₂V2 d. Suppose that there are initially 500 bicycles at location B and 500 at location c. Write the vector x₁ and find the scalars c₁ and ₂ such that x₁ = C₁V₁ + 0₂V₂. e. Use the previous part of this problem to determine x₂, x3 and x₁. f. After a very long time, how are all the bicycles distributed? This problem is a continuation of the previous problem. a. Let us define vectors Show that *-[-²-[1] V2 = Av₁ = V₁. Av₂ = -0.3v₂. b. Suppose that x₁ = C₁V₁+0₂V₂ where c₂ and c₂ are scalars. Use the Linearity Principle expressed to explain why X₂ = AX₁ = C₁V₁-0.302V2. c. Continuing in this way, explain why X3 = Ax₂ = C₁V₁ + (-0.3)²c₂V₂ X₁ = Ax3 = C₁V₁ + (-0,3)³c₂V₂. X5 = Ax₁ = C₁V₁ + (-0.3)¹₂V2 d. Suppose that there are initially 500 bicycles at location B and 500 at location c. Write the vector x₁ and find the scalars c₁ and ₂ such that x₁ = C₁V₁ + 0₂V₂. e. Use the previous part of this problem to determine x₂, x3 and x₁. f. After a very long time, how are all the bicycles distributed?
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a To show that Av v and Av 03v we can calculate the matrix multiplication A 12 06 06 12 v 5 2 Av 12 ... View the full answer
Related Book For
Intermediate Accounting
ISBN: 9781259722660
9th Edition
Authors: J. David Spiceland, James Sepe, Mark Nelson, Wayne Thomas
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