http://www.phoenix.edu
Linear Algebra –
mth360
(3 credits)
This course provides a survey of the concepts related to linear algebra. Students examine the geometry of vectors, matrices, and linear equations, including Gauss-Jordan elimination. Students explore the concepts of linear independence, rank, and linear transformations. Vector spaces, bases, and change of bases are discussed, including orthogonality and the Gram–Schmidt process. In addition, students investigate determinants, eigenvalues, and eigenvectors.
This undergraduate-level course is 5
weeks.
To enroll, speak with an Enrollment Advisor.
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Algebra Review
- Review linear algebra topics.
- Examine applications of linear algebra using Leontief’s closed model.
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Determinants, Orthogonality, Eigenvalues, and Eigenvectors
- Evaluate eigenvalues and eigenvectors using the characteristic polynomial.
- Decompose a vector space into its subspace and orthogonal complement.
- Calculate the dot, or inner, product of two vectors.
- Calculate determinants.
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Vector Spaces
- Extrapolate abstract vector spaces from specific vector spaces.
- Determine the basis and dimension of a subspace of Rn.
- Determine the kernel and range of the matrix representation of a subspace of Rn.
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Vectors and Linear Transformations
- Use linear transformations to transform a vector from Rn to Rm.
- Transform vectors in two- and three-dimensional spaces using matrices.
- Determine a spanning set for independent vectors.
- Solve applications of linear systems.
- Simplify vectors into linear combinations using vector algebra.
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Linear Equations and Matrix Algebra
- Determine the invertibility of a matrix.
- Perform matricial calculations.
- Solve linear equations using Gauss-Jordan elimination.
- Solve systems of linear equations with m equations and n unknowns.
- The University of Phoenix reserves the right to modify courses.
- While widely available, not all programs are available in all locations or in both online and on-campus formats. Please check with a University Enrollment Advisor.
- Transferability of credit is at the discretion of the receiving institution. It is the student’s responsibility to confirm whether or not credits earned at University of Phoenix will be accepted by another institution of the student’s choice.
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