Exam 2: Matrix Algebra

Find a basis for the column space of the matrix. - $B = \left[ \begin{array} { r r r r r } 1 & 0 & - 5 & 0 & - 3 \\0 & 1 & 4 & 0 & 4 \\0 & 0 & 0 & 1 & 1 \\0 & 0 & 0 & 0 & 0\end{array} \right]$

Find an LU factorization of the matrix A. - $A = \left[ \begin{array} { r r } 4 & - 1 \\- 24 & 9\end{array} \right]$