Akademik Dersler - İçerik

explains fundamental concepts about nxn matrices
defines and evaluates the determinant of a square matrix
defines the inverse of a square matrix and express the conditions of its existency
evaluates the inverse (if it exist) of an nxn matrix
Explains the systems of linear eauations
defines the solution of a linear equation system
decides whether a linear equation system has a solution or not
represents a system of linear equations by matrices
Explains the concepts of eigenvalue and eigenvector
defines the characteristic polynomial of a linear transformation
evaluates the eigenvalues and eigenvectors of a linear transformations
makes geometric interpretation of a linear transformation
Explains the diagonalizability of a linear transformation
explains the algebraic multiplicitiy and geometric multiplicity of an eigenvalue
express the necessary conditions that a matrix to be diagonalizable
Explains the inner product spaces and their properties.
express the concepts of an inner product space and an orthonormal basis.
applies the Gram-Schmidt process to construct an orthonormal basis for a vector space
examines diagonalizability of symmetric and Hermitian transformations