
Linear Algebra with its Applications
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A definition of linear algebra is that it is a part of algebra which is concerned with equations of the first degree. Thus, at the fundamental level, it involves the discussion of matrices and determinants, and the solutions of systems of linear equations, which have a wide application in further discussion of this subject.
Technical topics discussed in the book include:
Matrices
Vector spaces
Eigenvalue and eigenvectors
Linear transformation
Inner product spaces
Diagonalizations
Applications to conics and quadrics
Canonical forms
Least squares problems
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