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
Cayley Hamilton Theorem (statement only)-Problems
Cayley Hamilton Theorem –Applications
Eigen value problems arising from population models( Leslie model)
Properties of Eigen values and Eigen vectors
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: