10. Let (1,2,3) be a solution for the vector equation ru + yv + zw = 0 and consider the matrix A=[u,v,w] representing a linear transformation T. Pick the best option: a) NullSpace(T)={0} b) Range(T)={0} c) The list (u,v,w) is a basis for Nullspace(T) d) Dimension(Range(T)) < 3.

10. Let (1,2,3) be a solution for the vector equation ru + yv + zw = 0 and consider the matrix A=[u,v,w] representing a linear transformation T. Pick the best option: a) NullSpace(T)={0} b) Range(T)={0} c) The list (u,v,w) is a basis for Nullspace(T) d) Dimension(Range(T)) < 3.

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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Question

10. Let (1,2,3) be a solution for the vector equation ru + yv + zw = 0 and
consider the matrix A=[u,v,w] representing a linear transformation T. Pick the
best option:
a) NullSpace(T)={0}
b) Range(T)={0}
c) The list (u,v,w) is a basis for Nullspace(T)
d) Dimension(Range(T)) < 3.

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