English syllabus · 05091724
Linear Algebra
for Electrical Engineering.
Linear Algebra for Electrical and Electronics Engineering
Semester A, 2026–2027 · Tel Aviv University
English rendering of the supplied course-team syllabus for Semester A, 2026–2027. Official course announcements and the material taught in lectures and tutorials govern. The order and pace may change.
How the course is assessed
Assessment & practice.
Written homework
Approximately weekly open-ended sheets. Some questions are submitted; others are for independent practice. Grading and recording may cover only part of a submission.
The average of the best 8 sheet grades provides the 15% protective component, only when the final exam grade is at least 50. Submission is recommended, not mandatory.
WeBWorK
Approximately weekly online exercises. The average of the best 10 scores provides the 5% protective component, only when the final exam grade is at least 50.
Solutions to the WeBWorK assignments are not published.
Final examination
The final exam carries 80%–100% of the grade, according to the applicable protective components.
Protective components improve the exam-based grade under the course rules. They are not unconditional deductions from the exam weight.
Both exam sittings: A and B
What to expect in the exam.
Format and scope
- A multiple-choice part and an open-ended part.
- At least one subsection concerns a topic discussed in a lecture, potentially not covered elsewhere.
- At least two subsections are based on homework questions, including questions that were not submitted.
- Lectures, tutorials, and homework determine the examinable material.
No aids permitted
No calculator, formula sheet, or other reference material.
Course outline
From foundations to operators.
12 topic blocks · 65 lecture hours listed in the supplied syllabus. The allocation is a guide to course planning.
Mathematical foundations
Logic, quantifiers, connectives and negation; sets, membership, inclusion, equality, union, intersection and difference; induction and the binomial formula.
Fields and polynomials
The real and complex fields, finite fields, and polynomials.
Matrix algebra
Definitions and types of matrices; addition, scalar multiplication, matrix multiplication, and transpose.
Systems of linear equations
Matrix notation, Gaussian elimination and equivalent systems, echelon and reduced echelon forms, general solutions, and the structure of homogeneous and nonhomogeneous solution sets.
Vector spaces
Vector spaces and subspaces, sums and intersections of subspaces.
Basis and dimension
Linear combinations, span and linear dependence; row and column spaces; bases and dimension, rank and nullity, coordinate vectors and changes of basis; the dimension formula for sums and intersections.
Invertible matrices
Invertible and singular matrices, computation of inverses, and equivalent conditions for invertibility.
Determinants
Minors, computation and properties; geometric interpretations as area and volume; Vandermonde determinants, Cramer’s rule, and the inverse using the adjugate (classical adjoint).
Linear maps
Image, kernel, rank and nullity; rank–nullity, injectivity and surjectivity; compositions and inverses; representing matrices, changes of basis, transition matrices, similarity and invariants; rotations.
Eigenvalues and diagonalization
Eigenvalues, eigenvectors, the characteristic polynomial and eigenspaces; algebraic and geometric multiplicities, similarity invariants, diagonalization and applications.
Inner product spaces
Inner products, including integral inner products; orthogonality, norms, projections, orthonormal bases and coordinates, Gram–Schmidt, and orthogonal complements.
Self-adjoint operators
Self-adjoint matrices and operators; unitary and orthogonal diagonalization.
Optional bibliography from the course syllabus
Books for further reference.
- The Open University, Linear Algebra (1993; Hebrew).
- A. Berman and S. Kon, Linear Algebra: Theory and Exercises (2004; Hebrew).
- Seymour Lipschutz, Schaum’s Linear Algebra (1993; Hebrew edition).
- Gilbert Strang, Linear Algebra and Its Applications.
- Howard Anton and Chris Rorres, Elementary Linear Algebra, Wiley (2014).
Recordings and course communication
Zoom access or recordings, when available, support catching up with missed classes. Technical or human issues may affect availability. Keep your own notes and follow the course’s official announcements.
For questions, logistics, and private requests to Chen, use the Student Hub. Read replies on the website.