Main diagonal of a matrix
Collection of entries Aij where i = j. All other entries are zeroes.
The main diagonal of a matrix refers to the set of elements that are located in a straight line from the top left corner to the bottom right corner of the matrix.
For example, consider the following matrix:
“`
1 2 3
4 5 6
7 8 9
“`
The elements 1, 5, and 9 are located on the main diagonal of this matrix.
The main diagonal is important in matrix operations because it often contains key elements that are used to calculate different operations, such as the determinant or trace of a matrix. Additionally, when performing matrix multiplication, the main diagonal of the product matrix is derived from the dot product of the corresponding rows and columns of the original matrices.
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