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The Determinant's Properties and Calculation. The Adjoint Matrix. Direct Sums and Projections. Invariant Subspaces, Quotient Spaces. The Polynomial Ring# Roots and Factorization, Euclidean Algorithm. The Minimal and Characteristic Polynomials and The Cayley Hamilton Theorem. Existence and Uniqueness of The Jordan Form. Inner Product and The Cauchy Shwartz Inequality. Orthogonal Bases And The Gramm-schmidt Algorithm. Duality, Riesz Theorem, The Adjoint Operator. Selfadjoint, Unitary and Normal Operators. Diagonalization And The Spectral Decomposition. The Polar Decomposition. Bilinear And Quadratic Forms.

Faculty: Mathematics
|Undergraduate Studies

Pre-required courses

104066 - Algebra A or 104166 - Algebra Am

Course with no extra credit

104038 - Algebra 2m

Course with no extra credit (contained)

104173 - Linear Algebra 2 104174 - Algebra Bm

• Linear algebra - Hoffman, Kenneth.
• Linear Algebra - Kenneth, Hoffman
• Linear algebra : answers to problems - Hoffman, Kenneth.
• Linear algebra and geometry - Kostrikin, A. I.,
• Linear algebra and geometry - Kostrikin, Aleksei I.
• Linear algebra done right - Axler, Sheldon
• Linear algebra done right - Axler, Sheldon.
• Linear Algebra Done Right [electronic resource] - Axler, Sheldon.
• אלגברה א' - עמיצור, שמשון
• אלגברה לינארית II