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Feuille de route complète LM
·
Module 1
Mathematical Foundations: Linear Algebra
1
Understanding Scalars, Vectors, and Matrices
Define scalars, vectors, and matrices and identify their dimensions.
2
Vector Operations
Perform vector addition, scalar multiplication, and dot product computations.
3
Matrix Multiplication Essentials
Perform matrix multiplication and determine when it is defined.
4
Matrix Transposition
Compute the transpose of a matrix.
5
Determinants and Matrix Invertibility
Explain the concept of a determinant and its relation to matrix invertibility.
6
Inverting 2x2 Matrices
Compute the inverse of a 2x2 matrix.
7
Vector Norms: L1 and L2
Compute the L1 and L2 norms of a vector.
8
Geometric Interpretation of Eigenvectors and Eigenvalues
Explain the geometric interpretation of eigenvectors and eigenvalues.
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Mathematical Foundations: Statistics and Calculus