1. Determine whether a couple of given systems of equations are equivalent or not?
(a)
x - 4y + 5z = 27
y - 7z = -54
z = 8
(b)
x - 6y + z = 15
y + 5z = 42
z = 8
2. Determine whether a couple of given systems of equations are equivalent or not?
(a)
x + 3y -z = 19
y + 6z = -18
z = -4
(b)
x - y + 3z = -15
y -2z = 14
z = -4
3. Find the matrix in reduced row echelon form
x + 3y + z = 3
x + 5y + 5z = 1
2x + 6y + 3z = 8
4. Find the matrix in reduced row echelon form
I1 - I2 + I3 = 0
3I1 + 4I2 = 18
I2 + 3I3 = 6