I need help with problem three LU Decomposition. I have provided two screenshots one of which provides the original system of equations w the matrix [A] [x] and [b]. The second screenshot shows the result but I need to further explain the answer and what I keep coming up with on paper doesn't look correct. For this value of L, we have the system of equations.. (transform back into a system of equation's and solve for the unknown vector y)
How is [A] = [L][U]
From the computations above we see that the unknown vector y is,

y = [ ]