Consider the following system of linear equations:

x + y -z = 7

2x -y -5z =2

-5x + 4y +14z = 1

3x -y -7z =5

 

 

 

2. Consider the following system of linear equations: x+y-2=7 2x-y-5x=2 (1) -5x+4y+14% = 1 3x-y-7x=5 (a) Find the row-reduced matrix. (b) Describe the solution (if any) for this system. matrix Write the homogeneous equations associated with the system and find its row-reduced (d) Show that you can describe the solution of the original system in vector form as r = (x, y, z) = (3,4,0) + (2, 1, 1)z (2) and that such solution corresponds to the solution of the homogeneous system plus the particular (3,4,0). solution r =