MA 383 - Linear Algebra

• Learn the basic theory of linear algebra
• Apply the basic row operations to solve systems of linear equations
• Solve a matrix equation and a vector equation
• Understand the concept of linear dependence and independence
• Understand matrix transformations and linear transformations and the relationship between them
• Perform all matrix operations, be able to find the inverses and determinants of matrices
• Understand the concept of a subspace and basis
• Describe the column and null spaces of a matrix and find their basis and dimensions, and the rank of a matrix
• Understand the concept of similarity
• Find the eigenvalues and eigenvectors of a matrix
   

• Differential and integral calculus
• Basic vector mathematics

• Introduction to systems of linear equation and solving them using matrices, row operations (3 classes)
• Vectors, vector and matrix equations (3 classes)
• Matrix operations (4 classes)
• Vector spaces including bases, dimension, rank and nullity ( 3 classes)
• Linear independence (2 class)
• Matrix transformations, linear transformations and their relations (3 classes)
• Similarity (1 class)
• Eigenvalues, eigenvectors and their applications (4 classes)
• Diagonalization (2 classes)
• Applications (1 class)
• Reviews and exams (4 classes)