Basic Information
Direct Sums and Matrix Representation - Revision. The (classical) Adjoint Matrix. Invariant Subspaces and Restriction of a Linear Operator. The Minimal Polynomial and Cayley - Hamilton Theorem. Primary Decomposition Theorem. Nilpotent Operator and The Index Of Nilpotency. Jordan Canonical Form and Matrix Similarity Over The Field of Complex Numbers. Inner Product Spaces. Orthogonal Complement and Gram - Schmidt Process. The Adjoint of an Operator And Self Adjoint - Operator. Orthogonal Projections. Unitary Operators and Isometries. Normal Operators. Spectral Decomposition And Orthogonal Diagonalization. Positive Definite Operators And Polar Decomposition. Linear Functionals and The Dual Space. Bilinear Forms and Quadratic Forms. Congruence of Matrices. The Determinant As a Volume Form. Additional Topics As Time Permits.
Faculty: Mathematics
|Undergraduate Studies
Pre-required courses
104066 - Algebra A or 104166 - Algebra Am
Course with no extra credit
104038 - Algebra 2m 104173 - Linear Algebra 2
Course with no extra credit (contained)
104171
Course with no extra credit (contains)
Related Books
Semestrial Information
Weekly Hours
3.5 Academic Credit • 3 Lecture Hours • 1 Discussion Hours
Responsible(s)
Adi Wolf
Exams
Session A: 01-09-2024 Session B: 23-09-2024Registration Groups
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Weekly Hours
3.5 Academic Credit • 3 Lecture Hours • 1 Discussion Hours
Responsible(s)
Adi Wolf
Notes
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הקורס לא מיועד לסטודנטים ממתמטיקה.
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מתרגל אחראי: בר תבור
Exams
Session A: 17-05-2024 09:00 - 12:00- אמדו 231. 233. 234.
- אולמן 504. 506.
- דייויס 440. 442. 450. 451.
Registration Groups
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Weekly Hours
3.5 Academic Credit • 3 Lecture Hours • 1 Discussion Hours
Responsible(s)
Ofir David
Notes
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מתרגל אחראי: מר ים פלזנשטיין.
Exams
Session A: 11-07-2023 09:00 - 12:00- אולמן 602. 604. 605. 606. 607.
- אולמן 303. 306. 307.
Quizzes
Session A: 28-05-2023Registration Groups
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