Matrices and Linear Algebra

Articles
Title
Proof of Identity for Transpose of a Product of Matrices
Proof of the Cayley - Hamilton Theorem
Proof That a Linear Operatior on a Vector Space to the Set of Real Numbers is the Inner Product
Proof That All 2 x2 Complex Matrices are Similar to a Diagonal or Lower Triangular Matrix
Proof That Any Vector in Three Dimensions Can Be Written In Terms Of Three Non Collinear, Non Planar Vectors
Proof That Determinant of 2 x2 Matrices is a 2-Linear Function
Proof That Distinct Eigenvalues Return Distinct Eigenvectors
Proof That Multiplying a Row or Column of a Matrix By a Constant Multiplies the Determinant by that Constant
Proof That Similar Matrices Have the Same Characteristic Equation
Proof That the Conjugate of a Symmetric Matrix by an Orthogonal Matrix is Symmetric

Page 15 of 25