MATH231 — Linear Algebra

5 credits CIM Verified

Vector geometry, systems of linear equations, matrix algebra, determinants, vector spaces, bases and dimension, linear transformations, eigenvalues and eigenvectors.

Computer Science BS Data Science BS Mathematics BS
13
Objectives
12
Matches
12
Reviewed
10
Occupations
Your experience with this course
Top occupation matches for this course
44.1% Mathematicians 6t
42.7% Operations Research Analysts 4t
37.0% Data Scientists 2t
34.8% Statisticians 1t
32.5% Computer Systems Engineers/Architec 1t

Learning Objectives & Matches

LO1 CIM

Interpret the reduced row-echelon form of an augmented matrix as it pertains to the solution of a linear system of equations

0 O*NET task matches
Batch:
No O*NET task matches for this objective.
LO1

Solve systems of linear equations using Gaussian elimination and matrix methods

10 O*NET task matches
Batch:
Mathematicians 4.1/5
44% ok

Develop new principles and new relationships between existing mathematical principles to advance mathematical science.

Claude Opus 4.6 denied
Operations Research Analysts 3.7/5
43% ok

Break systems into their components, assign numerical values to each component, and examine the mathematical relationships between them.

Claude Opus 4.6 denied
Mathematicians 3.7/5
41% ok

Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.

Claude Opus 4.6 denied
Mathematicians 3.9/5
41% ok

Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.

Claude Opus 4.6 denied
Operations Research Analysts 3.7/5
41% ok

Break systems into their components, assign numerical values to each component, and examine the mathematical relationships between them.

Claude Opus 4.6 denied
Mathematicians 3.8/5
37% ok

Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.

Claude Opus 4.6 denied
Data Scientists
37% ok

Propose solutions in engineering, the sciences, and other fields using mathematical theories and techniques.

Claude Opus 4.6 denied
Operations Research Analysts 4.4/5
33% ok

Observe the current system in operation, and gather and analyze information about each of the component problems, using a variety of sources.

Claude Opus 4.6 denied
Network and Computer Systems A 3.6/5
32% ok

Confer with network users about solutions to existing system problems.

Claude Opus 4.6 denied
Computer Network Architects 4.2/5
31% ok

Develop and implement solutions for network problems.

Claude Opus 4.6 denied
LO2 CIM

Characterize the fundamental spaces of a matrix by a linearly independent, spanning set of vectors

0 O*NET task matches
Batch:
No O*NET task matches for this objective.
LO2

Perform matrix operations including multiplication, inversion, and factorization

0 O*NET task matches
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No O*NET task matches for this objective.
LO3 CIM

Find the eigenspace of a matrix for a given eigenvalue

0 O*NET task matches
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No O*NET task matches for this objective.
LO3

Compute determinants and apply properties to solve problems

2 O*NET task matches
Batch:
Computer Systems Engineers/Arc 4.2/5
33% ok

Direct the analysis, development, and operation of complete computer systems.

Claude Opus 4.6 denied
Operations Research Analysts 3.7/5
32% ok

Break systems into their components, assign numerical values to each component, and examine the mathematical relationships between them.

Claude Opus 4.6 denied
LO4 CIM

Leverage properties of orthogonality to efficiently represent a vector space

0 O*NET task matches
Batch:
No O*NET task matches for this objective.
LO4

Analyze vector spaces, subspaces, bases, and dimension

0 O*NET task matches
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No O*NET task matches for this objective.
LO5 CIM

Represent an element of a finite dimensional vector space undergoing a change of basis

0 O*NET task matches
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No O*NET task matches for this objective.
LO5

Apply linear transformations and understand their matrix representations

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No O*NET task matches for this objective.
LO6

Compute eigenvalues and eigenvectors for matrix analysis

0 O*NET task matches
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No O*NET task matches for this objective.
LO7

Apply linear algebra to data analysis, computer graphics, and machine learning

0 O*NET task matches
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No O*NET task matches for this objective.
LO8

Use computational tools for linear algebra calculations and applications

0 O*NET task matches
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No O*NET task matches for this objective.
Source: Official CIM from EWU · Matches via cosine similarity (all-MiniLM-L6-v2, 384-dim embeddings)