2. Consider the matrix A = -(1) 3 2 0 24 over Z5. (a) Is A invertible over Z5? Justify your answer. (b) How many solutions does the system of equations have over Z5? x+3y+z = 2 x+y+2z3 2y+4x=4

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 29CM
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Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.
and and Very very grateful!

2. Consider the matrix
A =
-(1)
3
2
0 24
over Z5.
(a) Is A invertible over Z5? Justify your answer.
(b) How many solutions does the system of equations
have over Z5?
x+3y+z = 2
x+y+2z3
2y+4x=4
Transcribed Image Text:2. Consider the matrix A = -(1) 3 2 0 24 over Z5. (a) Is A invertible over Z5? Justify your answer. (b) How many solutions does the system of equations have over Z5? x+3y+z = 2 x+y+2z3 2y+4x=4
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