>> A = [1 -1 1 0 0 0 0 0 0 0 ; 1 -1 0 -1 0 0 0 0 0 0 ; 0 0 0 1 -1 -1 0 0 0 0 ; 0 0 1 0 0 1 -1 0 0 0 ; 0 0 0 0 0 0 1 1 1 -1 ; 1 1 0 0 0 0 0 0 0 0 ; 0 -5 -5.5 2 0 10 0 0 0 0 ; 0 0 0 0 5 -10 -5 10 0 0; 0 0 0 0 0 0 0 0 -10 -7.5]

A =

  Columns 1 through 8

    1.0000   -1.0000    1.0000         0         0         0         0         0
    1.0000   -1.0000         0   -1.0000         0         0         0         0
         0         0         0    1.0000   -1.0000   -1.0000         0         0
         0         0    1.0000         0         0    1.0000   -1.0000         0
         0         0         0         0         0         0    1.0000    1.0000
    1.0000    1.0000         0         0         0         0         0         0
         0   -5.0000   -5.5000    2.0000         0   10.0000         0         0
         0         0         0         0    5.0000  -10.0000   -5.0000   10.0000
         0         0         0         0         0         0         0         0

  Columns 9 through 10

         0         0
         0         0
         0         0
         0         0
    1.0000   -1.0000
         0         0
         0         0
         0         0
  -10.0000   -7.5000

>> A = [1 -1 1 0 0 0 0 0 0 0 ; 1 -1 0 -1 0 0 0 0 0 0 ; 0 0 0 1 -1 -1 0 0 0 0 ; 0 0 1 0 0 1 -1 0 0 0 ; 0 0 0 0 0 0 1 1 1 -1 ; 1 1 0 0 0 0 0 0 0 0 ; 0 -5 -5.5 2 0 10 0 0 0 0 ; 0 0 0 0 5 -10 -5 10 0 0; 0 0 0 0 0 0 0 -10 10 0 ;0 0 0 0 0 0 0 0 -10 -7.5]

A =

  Columns 1 through 8

    1.0000   -1.0000    1.0000         0         0         0         0         0
    1.0000   -1.0000         0   -1.0000         0         0         0         0
         0         0         0    1.0000   -1.0000   -1.0000         0         0
         0         0    1.0000         0         0    1.0000   -1.0000         0
         0         0         0         0         0         0    1.0000    1.0000
    1.0000    1.0000         0         0         0         0         0         0
         0   -5.0000   -5.5000    2.0000         0   10.0000         0         0
         0         0         0         0    5.0000  -10.0000   -5.0000   10.0000
         0         0         0         0         0         0         0  -10.0000
         0         0         0         0         0         0         0         0

  Columns 9 through 10

         0         0
         0         0
         0         0
         0         0
    1.0000   -1.0000
         0         0
         0         0
         0         0
   10.0000         0
  -10.0000   -7.5000

>> B = [0 0 0 0 0 0 -15 -7 50 -20]

B =

     0     0     0     0     0     0   -15    -7    50   -20

>> B_t = transpose(B)

B_t =

     0
     0
     0
     0
     0
     0
   -15
    -7
    50
   -20

>> C = A ^ -1 * B_t

C =

   -0.2014
    0.2014
    0.4028
   -0.4028
    0.6944
   -1.0972
   -0.6944
   -2.4917
    2.5083
   -0.6778

>> X = [10 -5 0 0 0 ; -5 22.5 -10 0 0 ; 0 -10 30 -10 0 ; 0 0 -10 20 -10 ; 0 0 0 -10 17.5]

X =

   10.0000   -5.0000         0         0         0
   -5.0000   22.5000  -10.0000         0         0
         0  -10.0000   30.0000  -10.0000         0
         0         0  -10.0000   20.0000  -10.0000
         0         0         0  -10.0000   17.5000

>> Y = transpose([0 -15 7 50 -20])

Y =

     0
   -15
     7
    50
   -20

>> Z = X^-1 * y
Undefined function or variable 'y'.

Did you mean:
>> Z = X^-1 * Y

Z =

   -0.0069
   -0.0139
    1.4722
    3.7306
    0.9889

>>