Review On Direct Sums and Representing Matrices. Adjoint Matrix. Invariant Subspaces of a Linear Operator. The Minimal Polynomial. Proof of Cayley Hamilton Theorem. Primary Decomposition. Nilpotent Operators and Nilptency Index. Jordan's Canonical Form, Matrix Similarity. Inner Product Spaces. The Orthogonal Supplement. Gran-schmidt Process. The Adjoint Operator. Self Adjoint Operator. Orthogonal Projections. Unitary Operators, Isometries. Normal Operators. Spectral Decomposition and Orthogonal Diagonalization. Positive Operators Ans The Polar Decomposition Theorem. Linear Functional and The Dual Space. Bilinear and Quadratic Forms. Congruent Matrices. Tensor Product.

Faculty: Mathematics
|Undergraduate Studies
Pre-required courses

104066 - Algebra A or 104166 - Algebra Am

Course with no extra credit

104174 - Algebra Bm

Course with no extra credit (contained)

104171

Course with no extra credit (contains)

104168 - Algebra B

Semestrial Information

Weekly Hours

3.5 Academic Credit • 3 Lecture Hours • 1 Discussion Hours

Notes
  • 0

Exams
Session A: 10-02-2020 13:00 - 16:00
  • אולמן 701. 702. 703.
Session B: 12-03-2020
No Registration Groups
Weekly Hours

3.5 Academic Credit • 3 Lecture Hours • 1 Discussion Hours

Responsible(s)

Nir Lazarovich

No Registration Groups