SOLUTION: 2. You are given the following system of linear equations: 3x – 2y + z = 2 -x + y = 3 -2y + 6z = -1 a. Provide a coefficient matrix corresponding to the system of linear equat

Algebra ->  Matrices-and-determiminant -> SOLUTION: 2. You are given the following system of linear equations: 3x – 2y + z = 2 -x + y = 3 -2y + 6z = -1 a. Provide a coefficient matrix corresponding to the system of linear equat      Log On


   



Question 108979This question is from textbook precalculas
: 2. You are given the following system of linear equations:
3x – 2y + z = 2
-x + y = 3
-2y + 6z = -1
a. Provide a coefficient matrix corresponding to the system of linear equations.
b. What is the transpose of this matrix?
c. Find the determinant for this matrix
This question is from textbook precalculas

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a.)Coefficient Matrix

b.)Transpose of the Coefficient Matrix - Interchange rows and columns

c.)For a 3x3 matrix, the determinant is given by

the determinant is given by
det=a%28ei-fh%29%2Bb%28fg-di%29%2Bc%28dh-eg%29

det=3%286-0%29%2B%28-1%29%28-2%2B12%29%2B0
det=18-10
det=8