Understanding the Main Diagonal of a Matrix in Linear Algebra 🔢

What is the main diagonal of a matrix? The main diagonal of a matrix is sometimes called the major diagonal, principal diagonal, or leading diagonal, and we go over it in today's math video lesson!

Notice that each entry in a matrix can be identified specifically by a row and a column. The main diagonal of the matrix is the collection of entries that are in the same number row and column. As in, first row and first column, second row and second column, and so on.

Entries in matrices are sometimes written generically as a_ij, where ij is a subscript, i is the row number of an entry and j is the column number of an entry. Then the main diagonal is the collection of entries a_ij where i = j. Check out the full video lesson for more details!


I hope you find this video helpful, and be sure to ask any questions down in the comments!

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