MATRICES matrix elements of the matrix
... An n x n matrix that consists of 1's (ones) on its main diagonal and 0's (zeros) elsewhere is called the identity matrix of order n and is denoted by I or In. ...
... An n x n matrix that consists of 1's (ones) on its main diagonal and 0's (zeros) elsewhere is called the identity matrix of order n and is denoted by I or In. ...
Cayley-Hamilton theorem over a Field
... function of one row, keeping the other rows fixed, it is a linear function: commutes with scalar multiplication on a row, and addition of two vectors to give a new row. For high school, these determinant axioms are made explicit. Finally, if the n x n matrix has a repeated row, its determinant is 0. ...
... function of one row, keeping the other rows fixed, it is a linear function: commutes with scalar multiplication on a row, and addition of two vectors to give a new row. For high school, these determinant axioms are made explicit. Finally, if the n x n matrix has a repeated row, its determinant is 0. ...
