UNIT 1:
Eigen values and Eigen vectors of a real matrix
Eigen values and Eigen vectors of a real matrix
Eigen values and Eigen vectors of a real matrix
Eigen values and Eigen vectors of a real matrix
Properties of Eigen values and Eigen vectors
Cayley Hamilton Theorem (statement only)-Problems
Cayley Hamilton Theorem –Applications
Eigen value problems arising from population models( Leslie model)
Eigen value problems arising from population models( Leslie model)
UNIT 2:
Diagonalization of a real symmetric matrix
Diagonalization of a real symmetric matrix
Nature of the quadratic form
Reduction of quadratic form to canonical form by orthogonal transformation
Reduction of quadratic form to canonical form by orthogonal transformation
Applications: Stretching of an elastic membrane.
Applications: Stretching of an elastic membrane.
UNIT 3: