Matrices, Vector Spaces and Zero Vector
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a 1
Show(prove) that the set of all 2 X 2 matrices of the form with addition defined by
1 b
a 1 c 1 a+c 1
+ =
1 b 1 d 1 b+d
a 1 ka 1
and scalar multiplication defined by: k * =
1 b 1 kb
is a vector space . What is the zero-vector in this space?
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a 1
Show(prove) that the set of all 2 X 2 matrices of the form with addition defined by
1 b
a 1 c 1 a+c 1
+ =
...
Solution Summary
Matrices, Vector Spaces and Zero Vectors are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.
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