(Some) Matrices and Determinants
... The second representation of the determinant matrix is just to show where the math comes from. Procedure: 1. Repeat the first two columns (after red dashed line) 2. Multiply diagonals. From left to right is a positive contribution, from right to left is a negative contribution (note that signs m ...
... The second representation of the determinant matrix is just to show where the math comes from. Procedure: 1. Repeat the first two columns (after red dashed line) 2. Multiply diagonals. From left to right is a positive contribution, from right to left is a negative contribution (note that signs m ...
lesson_matrices
... A matrix is described by the numbers of rows and columns it has, specifically called the dimensions of the matrix. The number of rows is stated first. ...
... A matrix is described by the numbers of rows and columns it has, specifically called the dimensions of the matrix. The number of rows is stated first. ...
Matrix Operations (10/6/04)
... By (A B) applied to x then, we mean (A B) x = A (B x) = A (x1 b1 + … + xn bn ) = x1 A b1 + … + xn A bn = (A b1 … A bn ) x That is, by A B we mean the matrix whose columns are obtained by A operating on the columns of B . Hence if B has size m by n , then A must have m columns, but can have any numbe ...
... By (A B) applied to x then, we mean (A B) x = A (B x) = A (x1 b1 + … + xn bn ) = x1 A b1 + … + xn A bn = (A b1 … A bn ) x That is, by A B we mean the matrix whose columns are obtained by A operating on the columns of B . Hence if B has size m by n , then A must have m columns, but can have any numbe ...
