Systems of linear equations over the real numbers. Vector algebra on ordered n-tuples (Euclidean n-space). Representation of linear systems as rectangular matrices. Elementary row operations; the row canonical form of a matrix. Basic matrix algebra (addition, subtraction, scalar multiplication). Matrix-vector multiplication; linear maps between Euclidean spaces. Matrix multiplication, square matrices, algorithms for matrix inverses. Introduction to determinants, eigenvalues, eigenvectors, and applications. Numerical linear algebra with computer algebra systems. Applications of linear algebra to other disciplines. Weekly hours: 3 Lecture hours and 1.5 Practicum/Lab hoursPrerequisite(s): Pre-Calculus 30; or Foundations of Mathematics 30; or 3 credit units of MATH or STAT Note:Students with credit for MATH 264 or MATH 266 (taken prior
Systems of linear equations over the real numbers. Vector algebra on ordered n-tuples (Euclidean n-space). Representation of linear systems as rectangular matrices. Elementary row operations; the row canonical form of a matrix. Basic matrix algebra (addition, subtraction, scalar multiplication). Matrix-vector multiplication; linear maps between Euclidean spaces. Matrix multiplication, square matrices, algorithms for matrix inverses. Introduction to determinants, eigenvalues, eigenvectors, and applications. Numerical linear algebra with computer algebra systems. Applications of linear algebra to other disciplines. Weekly hours: 3 Lecture hours and 1.5 Practicum/Lab hoursPrerequisite(s): Pre-Calculus 30; or Foundations of Mathematics 30; or 3 credit units of MATH or STAT Note:Students with credit for MATH 264 or MATH 266 (taken prior
