Linear Algebra: Ch 2 - Determinants (39 of 48) Determinant of Matrices with A lot of Zeros

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In this video I will find |A|=? is a 4x4 matrix with a number of zeros.

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what if we start from -5 (3rd row 1stcolumn)? how do you determine the sequence which ROWxColumn you choose? I just don't get it in the second trial, why you choose the 3 (3rd row 4th column) did you choose arbitrarily? or do i miss something?

muhammadfareza