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Program 1
Linear Algebra
Scipy linalg directory
Output 1
Program 2
Linear Algebra
Inverse of Matrix
Output 2
Program 3
Linear Algebra
System of Linear Equations
The system of equations can be written as:
\[ \begin{bmatrix} 1 & 2 & 3 \\ 0 & 1 & 4 \\ 5 & 6 & 0 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \\ x_3 \end{bmatrix} = \begin{bmatrix} 7 \\ 8 \\ 9 \end{bmatrix} \]
Expanding into individual equations:
\[ 1x_1 + 2x_2 + 3x_3 = 7 \]
\[ 0x_1 + 1x_2 + 4x_3 = 8 \]
\[ 5x_1 + 6x_2 + 0x_3 = 9 \]
Output 3
Program 4
Linear Algebra
Determinant of MAtrix
Output 4
Program 5
Linear Algebra
Eigenvalues and eigenvectors
Output 5
Program 6
Linear Algebra
QR Decomposition
Output 6
Program 7
Linear Algebra
Norm of Matrix
Output 7
Program 8
Linear Algebra
LU decomposition
Output 8