1. If X={1,2,3,4) and T={{1,2), (3,4)} then T is 2. The collection T of all rectangular regions (interior of rectangles) whose sides are parallel to coordinate axes is

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
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Determine if the following is a topology or
not and/or basis.
1. If X={1,2,3,4) and T={{1,2), (3,4)}} then
T is
2. The collection T of all rectangular
regions (interior of rectangles) whose sides
are parallel to coordinate axes is
3. Let X= {1, 2, 3} and T = (0, X, {1}, {1, 2},
(1, 3) is
Transcribed Image Text:Determine if the following is a topology or not and/or basis. 1. If X={1,2,3,4) and T={{1,2), (3,4)}} then T is 2. The collection T of all rectangular regions (interior of rectangles) whose sides are parallel to coordinate axes is 3. Let X= {1, 2, 3} and T = (0, X, {1}, {1, 2}, (1, 3) is
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