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Matrix Operations

Explore key matrix operations used in solving systems of linear equations including calculating the inverse, determinant, trace, transpose, and Euclidean norm of matrices using Python. Understand how these operations assist in efficiently obtaining solutions to linear problems with practical implementation examples.

Inverse

Suppose we have to solve the equation AX=bAX=b for bb.

If vector bb changes, one has to call np.linalg.solve() over and over. Instead, if A1A^{-1} were calculated once, matrix multiplication with bb ...