I am learning Rank of Matrix chapter, here I am stuck on finding the submatrices for $3\times3$ matrix and also, in case if $3\times2$ matrix is generated as submatrix for $3\times3$ matrix, I wonder how to calculate the determinant value for the following matrix. Since I am new to the topic, any kind of help will be appreciated.
2026-04-04 01:57:36.1775267856
how to calculate determinant value for $3\times2$ matrix
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Determinant is not defined for non-square matrices. Probably, you want to check whether rows of submatrix are linear-independent. To do so there are many different approaches, for example Gaussian elimination.