andrewkirk said:
The row-column tri method, also known as the Sarrus method, involves creating a grid with the given matrix and then multiplying diagonally downwards and upwards. Add the two products together and subtract the sum of the diagonally upwards products from the sum of the diagonally downwards products.
The row-column tri method is a systematic way of calculating determinants for larger matrices. It is useful because it is a straightforward and efficient process that can be used for any size matrix.
No, the row-column tri method can only be used for square matrices, which have an equal number of rows and columns. For non-square matrices, other methods such as Gaussian elimination or the cofactor expansion method must be used to calculate the determinant.
One limitation of the row-column tri method is that it can become more time-consuming and complicated for larger matrices. In these cases, it may be more efficient to use other methods or a computer program to calculate the determinant.
It is important to be careful when multiplying and adding the products in the grid, as mistakes can easily be made. Double-checking your work and using a calculator can help prevent errors. It is also helpful to break down larger matrices into smaller ones to make the process more manageable.
