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EDUCATION FACULTY / ELEMENTARY MATHEMATICS EDUCATION / IMZ2004 - LINEAR ALGEBRA 2
GENERAL INFORMATION ABOUT THE COURSE
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Practical
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Course Objective
The aim of this course is to help students develop an understanding of the fundamental concepts and processes of linear algebra. It also aims to support the development of the knowledge and skills necessary for applying these concepts and processes to problem situations and effectively using solution methods.
Brief Content of the Course
Vector spaces, subspaces, linear independence, linear combinations; span, basis, and dimension; linear transformations, the kernel and image of a linear transformation; eigenvalues and eigenvectors; characteristic polynomials; diagonalization, inner product spaces, orthogonality of vectors, and orthonormal sets of vectors.
Prerequisites
Course Objectives
Course Objectives
1
Can define the concepts of Eigenvalues and Eigenvectors.
2
Can define the concept of vector spaces and state and prove theorems related to their properties.
3
Can define inner product spaces and perform applications related to inner product spaces.
4
Can define the concepts of Span, Basis, and Dimension and write their properties.
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Course Category
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Mathematics and Basic Sciences
Basic Vocational Courses
Expertise /Field Courses