Linear Algebra28

Non-degenerate form induces adjoint linear operators
Relation between non-degenerate forms and linear functionals
Form is left non-degenerate if and only if it is right non-degenerate
Form is non-degenerate if and only if the associated linear operator is non-singular
Diagonalize a symmetric matrix associated to a form
Symmetric sesqui-linear form over $\mathbb C$ is zero
Check if a form is an inner product
Find the matrix of a form with respect to a basis
Verify if they are sesqui-linear forms
Solve general linear equations with $2\times 2$ matrix