PROBLEMS
For Problems 1-14, determine the component
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Chapter 4 Solutions
Differential Equations and Linear Algebra (4th Edition)
- deal with the problem of solving Ax = b when det A = 0.22.Suppose that, for a given matrix A, there is a nonzero vector x such that Ax = 0. Show that there is also a nonzero vector y such that A*y = 0.arrow_forwardQuestion 1) Resolve the vector into its x- and y-components. 940N < 326° x= y= Round to whole numbers**arrow_forwardIn Problems 21–26, decompose v into two vectors v1 and v2 , where v1 is parallel to w, and v2 is orthogonal to w. 25. v = 3i + j, w = - 2i - jarrow_forward
- I need to solve this problem without using matrices. We have a vector V whose components in the basis B = (v1,v2) are (3,-2) Which are the components of the same vector in the basis C = (u1,u2) if v1 = 4u1-u2 and v2 = 4u1-3u2? Remember, no matrices.arrow_forwardFind the coordinate vector [x]Bof x =| 3 || −5 | relative to the basis, | 4 | B= {| 1 || 0 || 3 | ,| 2 || 1 || 8 | ,| 1 | | −1|| 2 |}.arrow_forwardCan you help me find the unique vector described in problem 2?arrow_forward
- If u = < 3 , 9 > and v = < -3, 1 >, find 1/3u - 2v. (this is a vector problem)arrow_forward6) Find the initial point of the vector that is equivalent to u= (1. 2) and whose terminal point is B(2. 0).arrow_forwardFind the coordinate vector of ?=2−4? relative to the basis ?={?1,?2} for ?1 where ?1=3+8?, ?2=1+?.arrow_forward
- From the system x' = -x + 5y og y' = -y show that the vector function (top of picture) is a solution of the system only if (bottom of picture) is true.arrow_forwardIn Problem,decompose v into two vectors v1 and v2 where v1 is parallel to w and v2 is orthogonal to w. v = 3i + j, w =2i - jarrow_forwardIn Problem,decompose v into two vectors v1 and v2 where v1 is parallel to w and v2 is orthogonal to w. v = i - 3j, w = 4i - jarrow_forward
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