I'm trying to understand the distinction between Gaussian elimination and Cramer's rule. Could someone explain the main differences between these two methods for solving systems of linear equations?
5 answers
Chiara
Thu Dec 26 2024
Eliminating variables is a mathematical process that can be applied without any restrictive conditions.
MoonlitCharm
Thu Dec 26 2024
In contrast, Cramer's rule necessitates the presence of square matrices for its effective utilization.
Lucia
Thu Dec 26 2024
Gaussian elimination, on the other hand, relies on three fundamental row operations to proceed.
ShintoMystic
Thu Dec 26 2024
These operations include row swapping, row multiplication by a scalar, and row addition involving the multiplication of another row by a scalar.
BenjaminMoore
Wed Dec 25 2024
Gaussian elimination not only helps in solving systems of linear equations but also facilitates the computation of the rank of matrices.