Determinant of a Matrix

How can I derive the determinant formula of a 3x3 matrix without using the algebraic definition?

Solving for the Determinant of a Matrix

Determinant of nxn matrix & = a(ei-fh)-b(di-fg)+c(dh-eg) \\ & = aei+bfg+cdh-ceg-bdi-afh. \end{align}

A Matrix

Inverse of a Matrix

Calculo de determinantes

Such as T :Rn → Rn, then T is associated with a square n×n matrix. One can calculate the determinant of such a square matrix, and such determinants are related to area or volume. It turns out that the determinant of a matrix tells us important geometrical properties of its associated linear transformation. Det (A) = a.d-b.c, The square increase area by a factor of |Det (A)|

Class Recap - Matrix Math and Determinants

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