Regarded in M3(F5), where F5 is the field of five elements, put the matrix [0 2 4] 4 20 003 A = into canonical form for equivalence using only row operations. (Hint: you may wish to use that 2-¹ = 3, 3-¹ = 2, 4¯¹ = 4 when working in F5.)

Elementary Linear Algebra (MindTap Course List)
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Chapter3: Determinants
Section3.CM: Cumulative Review
Problem 17CM: Find the sequence of the elementary matrices whose product is the non singular matrix below. [2410]
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Regarded in M3(F5), where F5 is the field of five elements, put the matrix
[0 2 4]
420
003
A =
into canonical form for equivalence using only row operations.
(Hint: you may wish to use that 2-¹ = 3, 3-¹ = 2, 4¯¹ = 4 when working in F5.)
Transcribed Image Text:Regarded in M3(F5), where F5 is the field of five elements, put the matrix [0 2 4] 420 003 A = into canonical form for equivalence using only row operations. (Hint: you may wish to use that 2-¹ = 3, 3-¹ = 2, 4¯¹ = 4 when working in F5.)
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