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ERIC Number: EJ1018729
Record Type: Journal
Publication Date: 2013
Pages: 7
Abstractor: As Provided
ISSN: ISSN-0228-0671
Three Interpretations of the Matrix Equation Ax = b
Larson, Christine; Zandieh, Michelle
For the Learning of Mathematics, v33 n2 p11-17 2013
Many of the central ideas in an introductory undergraduate linear algebra course are closely tied to a set of interpretations of the matrix equation Ax = b (A is a matrix, x and b are vectors): linear combination interpretations, systems interpretations, and transformation interpretations. We consider graphic and symbolic representations for each, highlighting the very different ways that the vector x is conceived across interpretations. We illustrate how a framework consisting of these interpretations can be used to make sense of student thinking using data from mid-semester interviews with introductory linear algebra students at a large public university in the southwestern US.
FLM Publishing Association. 382 Education South, University of Alberta, Edmonton, Alberta T6G 2G5, Canada. e-mail:; Web site:
Publication Type: Journal Articles; Reports - Evaluative
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A