1. Gauss method

Exercise 5.1.1: without pivoting
Exercise 5.1.2: with partial pivoting

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2. Gauss-Jordan method

Exercise 5.2.1: calculating the inverse matrix

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3.  LU decomposition

Exercise 5.3.1: without pivoting
Exercise 5.3.2: with partial pivoting

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4. Determinant of a matrix

Exercise 5.4.1

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5. Jacobi method

Exercise 5.5.1: convergence
Exercise 5.5.2: iterations

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6. Gauss-Seidel method

Exercise 5.6.1: convergence
Exercise 5.6.2: iterations

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7. Matrix conditioning

Exercise 5.7.1