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Math 2890 Sample Exam Problems

Use LU factorization of a matrix


Select a new matrix size if you would like.

Let $L=\left(\begin{array}{rr} 1 & 0 \\ -1 & 1 \end{array}\right)\ U=\left(\begin{array}{rr} -1 & 1 \\ 0 & 5 \end{array}\right)\text{ and } b=\left(\begin{array}{r} -6 \\ -9 \end{array}\right)$.

Use the LU factorization $A=LU$ to solve the matrix equation $Ax=b$.


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