Consider the chain of equivalences starting with matrix M, with entries in Z3, as shown below. M = ~ *-69-83-63-61 Find an expression for M-1 = [19], E₁ = 2 as a product of these elementary matrices: 1 0 E2 = E3 0 2 = 2 E4 = , E5 0 OME₁ E3 E4 O M¹E4E3 E1 O ME4E5 E1 OM-E3 E2 E1 -1 OME₁E2E4

Consider the chain of equivalences starting with matrix M, with entries in Z3, as shown below. M = ~ *-69-83-63-61 Find an expression for M-1 = [19], E₁ = 2 as a product of these elementary matrices: 1 0 E2 = E3 0 2 = 2 E4 = , E5 0 OME₁ E3 E4 O M¹E4E3 E1 O ME4E5 E1 OM-E3 E2 E1 -1 OME₁E2E4

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Determinants

Section3.3: Properties Of Determinants

Problem 63E: Let A be an nn matrix in which the entries of each row sum to zero. Find |A|.

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Consider the chain of equivalences starting with matrix M, with entries in Z3, as shown below.
M =
~
*-69-83-63-61
Find an expression for M-1
= [19],
E₁ =
2
as a product of these elementary matrices:
1
0
E2
=
E3
0
2
=
2
E4
=
, E5
0
OME₁ E3 E4
O M¹E4E3 E1
O ME4E5 E1
OM-E3 E2 E1
-1
OME₁E2E4

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