LU Factorization
... LU Factorization Theorem • Theorem 3.3. If A is an nxn matrix, and Gaussian Elimination does not encounter a zero pivot (no row swaps), then the algorithm described in the example above generates a LU factorization of A, where L is a lower triangular matrix (with 1’s on the diagonal), and U is an u ...
... LU Factorization Theorem • Theorem 3.3. If A is an nxn matrix, and Gaussian Elimination does not encounter a zero pivot (no row swaps), then the algorithm described in the example above generates a LU factorization of A, where L is a lower triangular matrix (with 1’s on the diagonal), and U is an u ...
MATH 105: Finite Mathematics 2
... Matrix Multiplication If we know how to multiply a row vector by a column vector, we can use that to define matrix multiplication in general. Matrix Multiplication If A is an m × n matrix and B is an n × k matrix, then the produce AB is defined to be the m × k matrix whose entry in the ith row, jth ...
... Matrix Multiplication If we know how to multiply a row vector by a column vector, we can use that to define matrix multiplication in general. Matrix Multiplication If A is an m × n matrix and B is an n × k matrix, then the produce AB is defined to be the m × k matrix whose entry in the ith row, jth ...
