>>13224247determinants are very useful for identifying the properties of certain matrices, for example, even for a two by two matrix with a leading integer (all entries integers) entry greater than the three other entries, and the last entry being less than the three other entries, if this matrix has a determinant of one or negative one then the first row or first column entries might be extensions of a pythagorean triple.
In other words, determinants let you know something about the matrix you're dealing with, the most important determinant being zero showing the rows and columns MIGHT be independent (notice that the implication doesn't go both ways for row and column independence and zero value determinants).
>just do your homework you shit 
