# how to calculate determinant value for $3\times2$ matrix

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.

• I don't follow your question talking about $3\times 2$ matrices... only square matrices have determinants. As for how to take a determinant of a $3\times 3$ matrix, there are surely hundreds or thousands of tutorials easily found throughout the internet and on this site as well that should satisfy you. Commented Jan 10, 2020 at 14:46
• I recommend PatrickJMT's videos on the subject. youtube.com/watch?v=21LWuY8i6Hw Commented Jan 10, 2020 at 14:49
• The sub-matrices generated in the evaluation of determinant of a given matrix are always square. In the case of $3\times 3$ matrix, there are 3 different sub-matrices and they are all $2\times 2$ matrices.
– YNK
Commented Jan 10, 2020 at 16:01