Why Study Properties Of Determinants

Why study properties of determinants?

graph TD; A[Why study properties of determinants?]; B[Helps in solving linear equations]; C[Useful in vector calculus]; D[Important in linear transformations]; E[Used in area and volume calculations]; F[Helps in understanding eigenvalues and eigenvectors]; G[Useful in matrix inversion]; A-->B; A-->C; A-->D; A-->E; A-->F; A-->G;