Which matrix equation is equivalent to

3x+2y-5z=20
5x-10y+8z=17
-8+11y-2z=29

|+3 +2 -5 | |x| |20|

|+5 -10 8 |*|y|=|17|
|-8 +11 -2| |z| |29|

to solve:
http://www.gregthatcher.com/Mathematics/GaussJordan.aspx

To find the matrix equation equivalent to the given system of linear equations, let's write the coefficients and constants in matrix format.

The given system of linear equations can be written as:

[ 3 2 -5 ] [ x ] [ 20 ]
[ 5 -10 8 ] [ y ] = [ 17 ]
[ 0 11 -2 ] [ z ] [ 29 ]

Now, let's represent the matrices in the equation:

A * X = B

Where:
A = [ 3 2 -5 ] X = [ x ]
[ 5 -10 8 ] [ y ]
[ 0 11 -2 ] [ z ]

And:
B = [ 20 ]
[ 17 ]
[ 29 ]

Therefore, the matrix equation equivalent to the given system of linear equations is:

[ 3 2 -5 ] [ x ] [ 20 ]
[ 5 -10 8 ] [ y ] = [ 17 ]
[ 0 11 -2 ] [ z ] [ 29 ]

To determine the matrix equation that is equivalent to the system of equations given, we can set up a matrix equation in the form AX = B, where A is the coefficient matrix, X is the column matrix containing the variables, and B is the column matrix containing the constants.

First, we will arrange the coefficients of the variables in the form of a matrix, which is the coefficient matrix A:

A = [ 3 2 -5 ]
[ 5 -10 8 ]
[ -8 11 -2 ]

Next, we will arrange the variables in a column matrix X:

X = [ x ]
[ y ]
[ z ]

Finally, we will arrange the constants in a column matrix B:

B = [ 20 ]
[ 17 ]
[ 29 ]

Now, we can write the matrix equation AX = B:

[ 3 2 -5 ] [ x ] = [ 20 ]
[ 5 -10 8 ] [ y ] [ 17 ]
[ -8 11 -2 ] [ z ] [ 29 ]

Thus, the matrix equation equivalent to the given system of equations is:

[ 3 2 -5 ] [ x ] = [ 20 ]
[ 5 -10 8 ] [ y ] [ 17 ]
[ -8 11 -2 ] [ z ] [ 29 ]