what is the determinant of a matrix?

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If someone could enlighten me,that would be nice. I am practicing for an upcoming math exam,and for the life of me I can not wrap my head around this as a concept. (I can calculate it, and after that do the fancy stuffs with it,but no scientific explanation helped me to understand what the hell a determinant is actually 😀 .

In: Mathematics

2 Answers

Anonymous 0 Comments

Its basically a Volume. If you have a 3×3 matrix it is the volume of the parallelepiped bounded by the origin and each of the vectors, with the other points being various sums of the vectors.

With a 2×2 its the area of a parallelogram where the points are the two vectors, the origin and the sum of the two vectors.

In 4+ dimensions it gets more abstract.

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