Consider the following matices: 3 2 2 B = 2 0 -3 - A -1 1 1 -2 1 1 -2 0 Select the correct multiple choice which states which of the following products are well defined. АВ, ВА, ВТ С, АС, СА, СТ А AB yes, BA yes, B^TC no, AC no, CA yes, C^TA yes. AB no, BA yes, B^TC yes, AC yes, CA yes, C^TA yes. AB yes, BA yes, BATC yes, AC yes, CA yes, C^TA no. AB no, BA yes, BATC no, AC yes, CA yes, C^TA no.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 9AEXP
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Consider the following matices:
3 2
2
B =
2
0 -3
-
A
-1
1
1
-2
1
1
-2 0
Select the correct multiple choice which states which of the following
products are well defined.
АВ, ВА, ВТ С, АС, СА, СТ А
AB yes, BA yes, B^TC no, AC no, CA yes, C^TA yes.
AB no, BA yes, B^TC yes, AC yes, CA yes, C^TA yes.
AB yes, BA yes, BATC yes, AC yes, CA yes, C^TA no.
AB no, BA yes, BATC no, AC yes, CA yes, C^TA no.
Transcribed Image Text:Consider the following matices: 3 2 2 B = 2 0 -3 - A -1 1 1 -2 1 1 -2 0 Select the correct multiple choice which states which of the following products are well defined. АВ, ВА, ВТ С, АС, СА, СТ А AB yes, BA yes, B^TC no, AC no, CA yes, C^TA yes. AB no, BA yes, B^TC yes, AC yes, CA yes, C^TA yes. AB yes, BA yes, BATC yes, AC yes, CA yes, C^TA no. AB no, BA yes, BATC no, AC yes, CA yes, C^TA no.
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