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Linear Algebra for Data Science — Part 3
Transpose Matrix, Trace of a Matrix, Inverse of a Matrix and Determinant of a Matrix
I hope by now you’re not scared with parts 1 and 2 of this series of Linear Algebra. In part 1 of this series, we learned what elementary operations are, and how to use them to reduce a matrix to the row echelon form and row reduced echelon form, as well as solve systems of linear equations. We also learned what the identity matrix is and how it can be used in elementary operations.
In part 2 of this series, we learned basic operations with matrices, i.e. addition and subtraction of matrices, and multiplication of matrices, as well as operations involving scalars and matrices.
In this article we will continue to learn about matrices, doing all the calculations manually and also through the Python language using the Numpy library, and also introducing the Sympy library (a robust library for symbolic mathematics that optimizes the representation of…