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Change of Variables

Change of Variables in Integration in R^n

Determinant of an

Determinant of an Operator and of a Matrix

Trace of an

Trace of an Operator and of a Matrix

Change of Basis

Change of Basis

Isometries on Real

Isometries on Real Inner Product Spaces

Normal Operators on

Normal Operators on Real Inner Product Spaces

Complexification

Complexification

Jordan Form

Jordan Form

The Minimal Polynomial

The Minimal Polynomial

The Characteristic Polynomial

The Characteristic Polynomial

Square Roots of

Square Roots of Operators

Block Diagonal Matrices

Block Diagonal Matrices

Decomposition Via Generalized

Decomposition Via Generalized Eigenvectors

Nilpotent Operators

Nilpotent Operators

Generalized Eigenvectors

Generalized Eigenvectors

Null Spaces of

Null Spaces of Powers of an Operator

Singular Value Decomposition

Singular Value Decomposition

Polar Decomposition

Polar Decomposition

Isometries

Isometries

Positive Operators

Positive Operators

The Spectral Theorem

The Spectral Theorem

Normal Operators

Normal Operators

Self-Adjoint Operators

Self-Adjoint Operators

Adjoints

Adjoints