11.
Given a row echelon form or the reduced row echelon form of an
augmented matrix of a system of equations, determine the number of
solutions the system has.
The following matrix is in reduced row echelon form. Decode from
the matrix the solution of the corresponding system of linear
equations or state that the system is inconsistent. (If the system
is dependent assign the free variable the parameter t. If
the system is inconsistent, enter INCONSISTENT.)
1
0
5
−4
0
1
−8
10
0
0
0
0
(x1, x2,
x3) =
Find the reduced row echelon form of the following matrices.
Interpret your result by giving the solutions of the systems whose
augmented matrix is the one given.
[ 0 0 3 -1 5
1 0 0 4 2
4 1 3 0 -8
1 2 7 9 0 ]
Write a Matlab function for a matrix that takes
in a matrix in echelon form and will return the row
canonical form. The function cannot use
rref, or any other matlab built in functions.