Matrice
... This is the matrix form of the simultaneous equations. Here the unknown is the matrix X,since A and B are already known. A is called the matrix of coefficients. ...
... This is the matrix form of the simultaneous equations. Here the unknown is the matrix X,since A and B are already known. A is called the matrix of coefficients. ...
Euler Transform
... Find temporary s find smallest component of r and set it to zero, swap two remaining components and negate one of them (numerically stable): ...
... Find temporary s find smallest component of r and set it to zero, swap two remaining components and negate one of them (numerically stable): ...
Summary of lesson
... 3. Test the decoding matrix to verify that these matrices are inverses. (When you multiply a matrix by its inverse, in either direction, their product will be the identity matrix.) Type the appropriate entries into the matrix given on Page 1.3. Change the order of the multiplication to verify that t ...
... 3. Test the decoding matrix to verify that these matrices are inverses. (When you multiply a matrix by its inverse, in either direction, their product will be the identity matrix.) Type the appropriate entries into the matrix given on Page 1.3. Change the order of the multiplication to verify that t ...
Homework 8
... (a) Find the matrices [S]B,A and [T ]C,B . (b) Show that (T ◦ S)((x, y)) = (2x + 2y, 0) and hence compute the matrix (T ◦ S)C,A . (c) Verify that [T ]C,B [S]B,A = [T ◦ S]C,A . (4) Let V = R2 . Let 0◦ ≤ θ, φ < 360◦ . Let Rθ , Rφ : V → V be rotation by θ and by φ anticlockwise. Write down their matric ...
... (a) Find the matrices [S]B,A and [T ]C,B . (b) Show that (T ◦ S)((x, y)) = (2x + 2y, 0) and hence compute the matrix (T ◦ S)C,A . (c) Verify that [T ]C,B [S]B,A = [T ◦ S]C,A . (4) Let V = R2 . Let 0◦ ≤ θ, φ < 360◦ . Let Rθ , Rφ : V → V be rotation by θ and by φ anticlockwise. Write down their matric ...
