Gaussian Elimination
... Gaussian and Gauss-Jordan Elimination Gaussian Elimination is a method for solving linear systems of equations. To solve a linear system by Gaussian Elimination, you form a matrix from the matrix of coefficients and the vector of constant terms (this is called the augmented matrix). Then you transfe ...
... Gaussian and Gauss-Jordan Elimination Gaussian Elimination is a method for solving linear systems of equations. To solve a linear system by Gaussian Elimination, you form a matrix from the matrix of coefficients and the vector of constant terms (this is called the augmented matrix). Then you transfe ...
Radon transform and curvature
... 3. Theorem. Let σ : Σ → D 0 (M ) be a smooth embedding of a finite dimensional smooth manifold Σ into the space of distributions on a manifold M , and let Rσ : Cc∞ (M ) → C ∞ (Σ) be the associated Radon transform. Then the extrinsic curvature of σ(Σ) in D 0 (M ) is the Hessian composed with the Rado ...
... 3. Theorem. Let σ : Σ → D 0 (M ) be a smooth embedding of a finite dimensional smooth manifold Σ into the space of distributions on a manifold M , and let Rσ : Cc∞ (M ) → C ∞ (Σ) be the associated Radon transform. Then the extrinsic curvature of σ(Σ) in D 0 (M ) is the Hessian composed with the Rado ...
Doing Linear Algebra in Sage – Part 2 – Simple Matrix Calculations
... Suppose we want to create the set of 3x3 matrices over Q. The command is sage: M = MatrixSpace(QQ,3) You could have gotten the same result by typing sage: M = MatrixSpace(QQ,3,3) and, as you can guess, MatrixSpace(QQ,3,2) will give you 3x2 matrices (3 rows and 2 columns). You are not limited to matr ...
... Suppose we want to create the set of 3x3 matrices over Q. The command is sage: M = MatrixSpace(QQ,3) You could have gotten the same result by typing sage: M = MatrixSpace(QQ,3,3) and, as you can guess, MatrixSpace(QQ,3,2) will give you 3x2 matrices (3 rows and 2 columns). You are not limited to matr ...
