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[1/2 -3 A = Find sequence of elementary matrices whose product is 2 3/15

[1/2 -3 A = Find sequence of elementary matrices whose product is 2 3/15

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
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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[1/2 A = 2 -3 3/15 Find sequence of elementary matrices whose product is
Transcribed Image Text:[1/2 A = 2 -3 3/15 Find sequence of elementary matrices whose product is
V2 -3 2 R, -6 - 2R, 15 R2 A = 3/15 183 2 3/15 183 15 -; Eig(6) E, () Eg, (-2) E,(2) A = I » A = {E, (2)}`' { F,, (-2)}"' { € 2 ( { Fig(6)}" E, ( ±) E2,(2) E 2 ($3) f12 (-6) 183 . The etementary malrices are E, (t) : Eg ( 4 2. 18 E12 (-6) i5
Transcribed Image Text:V2 -3 2 R, -6 - 2R, 15 R2 A = 3/15 183 2 3/15 183 15 -; Eig(6) E, () Eg, (-2) E,(2) A = I » A = {E, (2)}`' { F,, (-2)}"' { € 2 ( { Fig(6)}" E, ( ±) E2,(2) E 2 ($3) f12 (-6) 183 . The etementary malrices are E, (t) : Eg ( 4 2. 18 E12 (-6) i5
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