Question 2 over a field K. Let Mn(K) denotes the vector space of n x n matrices (b) Let A be given by Compute the rank of A as ⚫ an element of M2(R) ⚫ an element of M2 (F3) • an element of M2(F2) A = [1 2 = 0-2 2 0 0 1 −1 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 5E
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Question 2
over a field K.
Let Mn(K) denotes the vector space of n x n matrices
Transcribed Image Text:Question 2 over a field K. Let Mn(K) denotes the vector space of n x n matrices
(b) Let A be given by
Compute the rank of A as
⚫ an element of M2(R)
⚫ an element of M2 (F3)
• an element of M2(F2)
A =
[1
2
=
0-2
2
0
0
1
−1 1
Transcribed Image Text:(b) Let A be given by Compute the rank of A as ⚫ an element of M2(R) ⚫ an element of M2 (F3) • an element of M2(F2) A = [1 2 = 0-2 2 0 0 1 −1 1
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