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21241 Matrices and Linear Transformations Spring and Fall: 10 units A first course in linear algebra intended for scientists, engineers, mathematicians and computer scientists. Students will be required to write some straightforward proofs. Topics to be covered: complex numbers, real and complex vectors and matrices, rowspace and columnspace of a matrix, rank and nullity, solving linear systems by row reduction of a matrix, inverse matrices and determinants, change of basis, linear transformations, inner product of vectors, orthonormal bases and the gramschmidt process, eigenvectors and eigenvalues, diagonalization of a matrix, symmetric and orthogonal matrices. 3 hrs. lec., 1 hr. rec Prerequisites: None. Corequisites: None. Cross Listed Courses: None. Notes: This course does not have a prerequisite. It is strongly recommended though that students registering for this course have taken 21127 Concepts of Math.
