SOLUTION: 3x-2y+z=2 -x+y=3 -2y+6z=-1 a. provide a coeffient matrix corresponding tp the system of linear equations. B. the transpose is ? is it the switching of rows? c.The determinant?

Algebra ->  College  -> Linear Algebra -> SOLUTION: 3x-2y+z=2 -x+y=3 -2y+6z=-1 a. provide a coeffient matrix corresponding tp the system of linear equations. B. the transpose is ? is it the switching of rows? c.The determinant?      Log On


   

Question 109214This question is from textbook precalculus
: 3x-2y+z=2
-x+y=3
-2y+6z=-1
a. provide a coeffient matrix corresponding tp the system of linear equations.
B. the transpose is ? is it the switching of rows?
c.The determinant? is it the part of a matrix A, det |A| or , is a real number associated with every square matrix. This question is from textbook precalculus

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"a. provide a coeffient matrix corresponding tp the system of linear equations."

Simply write the coefficients without their corresponding variables in a matrix like this:

%28matrix%283%2C3%2C3%2C-2%2C1%2C-1%2C1%2C0%2C0%2C-2%2C6%29%29


"B. the transpose is ? is it the switching of rows?"

The transpose simply takes every row and makes it a column and vice versa


So the first row becomes the first column and the first column becomes the first row. This is applied to each row and column

So the transpose of %28matrix%283%2C3%2C3%2C-2%2C1%2C-1%2C1%2C0%2C0%2C-2%2C6%29%29 is %28matrix%283%2C3%2C3%2C-1%2C0%2C-2%2C1%2C-2%2C1%2C0%2C6%29%29


"c.The determinant? is it the part of a matrix A, det |A| or , is a real number associated with every square matrix."
The determinant of any matrix is just a scalar value (some single number)