Vector v1=[1, 1, 2]T, vector v2=[0, 1, 1]T, vector v3=[-1, 2, 0]T Transformation f : R3 -> R3 is given by the pictures of vector v1 v2 v3 as follows: f(v1) = [-9, 6, -3]T ,f(v2) = [-3, 2, -1]T ,f(v3) = [5, -3, 4]T Find the matrix transformation f relative to the base unit Find, if vector u = [-1, 2, 1]T is in the core of this transformation
Vector v1=[1, 1, 2]T, vector v2=[0, 1, 1]T, vector v3=[-1, 2, 0]T Transformation f : R3 -> R3 is given by the pictures of vector v1 v2 v3 as follows: f(v1) = [-9, 6, -3]T ,f(v2) = [-3, 2, -1]T ,f(v3) = [5, -3, 4]T Find the matrix transformation f relative to the base unit Find, if vector u = [-1, 2, 1]T is in the core of this transformation
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.1: Vectors In Two Dimensions
Problem 17E
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Transformation f : R3 -> R3 is given by the pictures of vector v1 v2 v3 as follows:
f(v1) = [-9, 6, -3]T ,f(v2) = [-3, 2, -1]T ,f(v3) = [5, -3, 4]T
- Find the matrix transformation f relative to the base unit
- Find, if vector u = [-1, 2, 1]T is in the core of this transformation f
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