Chapter 8 Matrices and Determinants
... • Any rows consisting of all zeros occur at the bottom of the matrix • All entries on the main diagonal are 1 • All entries not on the main diagonal or in the last column are 0 • A13 is the x-coordinate of the solution • A23 is the y-coordinate of the solution ...
... • Any rows consisting of all zeros occur at the bottom of the matrix • All entries on the main diagonal are 1 • All entries not on the main diagonal or in the last column are 0 • A13 is the x-coordinate of the solution • A23 is the y-coordinate of the solution ...
Similarity and Diagonalization Similar Matrices
... Definition. An n × n matrix A is diagonalizable if there is a diagonal matrix D such that A is similar to D — that is, if there is an invertible matrix P such that P −1 AP = D. Note that the eigenvalues of D are its diagonal elements, and these are the same eigenvalues as for A. Theorem 4.23. Let A ...
... Definition. An n × n matrix A is diagonalizable if there is a diagonal matrix D such that A is similar to D — that is, if there is an invertible matrix P such that P −1 AP = D. Note that the eigenvalues of D are its diagonal elements, and these are the same eigenvalues as for A. Theorem 4.23. Let A ...
Linear Algebra Review Vectors By Tim K. Marks UCSD
... unitary) if its columns are orthonormal vectors. – A matrix A is orthonormal iff AAT = I. • If A is orthonormal, A-1 = AT AAT = ATA = I. ...
... unitary) if its columns are orthonormal vectors. – A matrix A is orthonormal iff AAT = I. • If A is orthonormal, A-1 = AT AAT = ATA = I. ...
