Given the system of linear equations2xyz=1,x-3y+2z = 4, 3x+2y+3z = 5a) Represent the system as Ax=b where A is a matrix, and solve for x using Cramer's rule.b) Compute the determinant of matrix A and discuss its implications on the solvability of the system.

a ans:Final Solution:x=⎣⎢⎡xyz⎦⎥⎤=⎣⎢⎡1719−1771714⎦⎥⎤. b ans) Determinant of A and…

Answered: Given the system of linear equations…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.5: Determinants

Problem 71E: Explain how to find the determinant of a 22 matrix.

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Given the system of linear equations 2xyz=1, x-3y+2z = 4, 3x+2y+3z = 5 a) Represent the system as Ax = b where A is a matrix, and solve for x using Cramer's rule. b) Compute the determinant of matrix A and discuss its implications on the solvability of the system.