[₁]Problem # 20 Suppose a line L in R³ contains the unit vector u = U₂(a) Find the matrix A of the linear transformation 7(x) = ref(x). Give the entriesof A in terms of the components u₁, U2, U3 of u.

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Answered: Problem # 20 Suppose a line L in R3…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Let B= (b,, b,, b,} and D= (d,, d,} be bases for vector spaces V and W, respectively. Let T :V- W be a linear transformation with the following properties. T(b,) = - 3d, +2d2, T(b2) = - 4d, + 4d2, T(b3) = 5d2 Find the matrix for T relative to B and D. The matrix for T relative to B and D isO.
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Problem # 20 Suppose a line L in R3 contains the unit vector i = ₂ (a) Find the matrix A of the linear transformation 7(x) = ref(x). Give the entries of A in terms of the components u₁, U₂, U3 of u.