Linear Algebra

Instructor: Hossein Jowhari
Office: Math Department 402
Email: jowhari at kntu dot ac dot ir

Semester: Fall 2018 (97-1)
Classroom: IE 203
Time: Wed 1:00pm-4:00pm
TA: Mahdi Bokharaei

Recommended Textbook: Linear Algebra and Its Applications By Gilbert Strang, Fourth Edition.

Midterm Grades pdf

Lectures :

(Week 1). Introduction. Fields. Linear System of Equations. pdf
(Week 2). Raw picture, column picture. Guassian Elimination. Matrix Multiplication. pdf
(Week 3). LU decomposition. The inverse matrix. Guass-Jordan method. Permutation matrices. pdf
(Week 4). Vector spaces. Span of vectors. The Nullspace. Collumn Space. Linear Independence. pdf
(Week 5). Bases of a vector space. Computing the Nullspace. pdf
(Week 6). Solutions of Ax=b. Rank of a matrix. Four fundamental subspaces. pdf
(Week 7). Linear Transformations. Determinant. pdf
(Week 8). Determinant. pdf
(Week 9). Eigenvalues, Eigenvectors. pdf
(Week 10). Eigenvectors (continued), Inner product spaces, Cauchy-Schwarz inequality. pdf
(Week 11). Orthogonal subspaces. Projection matrices. Least Square Regression. pdf

Homeworks :

Hw1 pdf

Hw2 pdf

Hw3 pdf

Hw4 pdf

Hw5 pdf

Hw6 pdf