and W be two vector spaces with zeros respectively 0, and 0. Let T: VW be defined by T (v) VvE V. Let Ker (T) denote the kernel of T and Ran (T) the range of T. Which one of the owing gives the correct information about the kernel and range of T ? Ler (T) = V en WT W. Jone of the other options. Ker (T) = (Ov) and Ran (T) = (0) - Ker (T) = W en W₁ = (Ow). / Ker (T) = V and Ran (T) = (On). Ker (T) = (0y) and Ran (T) = W. Ker (T) = (0) and Ran (T) = V.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 48E
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Let V and W be two vector spaces with zeros respectively 0, and 0. Let T: VW be defined by T (V)
=
V. Let Ker (T) denote the kernel of T and Ran (T) the range of T. Which one of the
following gives the correct information about the kernel and range of T ?
A. Ker (T) = V en WT = W..
B. None of the other options.
OC. Ker (T) = (0y) and Ran (T) = (0).
OD. Ker (T) = W en WT = (Ow). /
E. Ker (T) = V and Ran (T)
OF. Ker (T) = {0y) and Ran (T) = W.
G. Ker (T) = (0) and Ran (T) = v.
(On
Transcribed Image Text:Let V and W be two vector spaces with zeros respectively 0, and 0. Let T: VW be defined by T (V) = V. Let Ker (T) denote the kernel of T and Ran (T) the range of T. Which one of the following gives the correct information about the kernel and range of T ? A. Ker (T) = V en WT = W.. B. None of the other options. OC. Ker (T) = (0y) and Ran (T) = (0). OD. Ker (T) = W en WT = (Ow). / E. Ker (T) = V and Ran (T) OF. Ker (T) = {0y) and Ran (T) = W. G. Ker (T) = (0) and Ran (T) = v. (On
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