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Matrices are used to represent linear transformations and solve systems of linear equations.
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SUPPORTED
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Is it true that matrices are used to represent linear transformations and solve systems of linear equations?
Yes. Multiple sources state that matrices are used to represent linear transformations and to solve systems of linear equations, with some covering both uses and others covering only one.
Verdict: SUPPORTED · 9 sources for, 0 against · Last checked
Evidence for · 9
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Steiner, E. (2008). Matrices and linear transformations. doi.org. https://doi.org/10.1093/hesc/9780199205356.003.0018
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More for · 8
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What's the relationship between linear transformations and systems of equations?. (2021). math.stackexchange.com. https://math.stackexchange.com/questions/4090259/whats-the-relationship-between-linear-transformations-and-systems-of-equations
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AW, H., A, H., & S, L. (2009). Quantum algorithm for linear systems of equations.. doi.org. https://doi.org/10.1103/physrevlett.103.150502
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Sahu, M. (2026). Applications of Linear Algebra in Solving Systems of Linear Equations. zenodo.org. https://doi.org/10.5281/zenodo.18494387
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Christine, A., Megan, W., & Michelle, Z. (2017). A Hypothetical Learning Trajectory for Conceptualizing Matrices as Linear Transformations. eric.ed.gov. https://doi.org/10.1080/0020739X.2016.1276225
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Kaschner, S. & Russell, A. (n.d.). Linear Transformations on Vector Spaces. open.umn.edu. https://open.umn.edu/opentextbooks/textbooks/linear-transformations-on-vector-spaces
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Linear Transformations on Vector Spaces. (2023). open.umn.edu. https://open.umn.edu/opentextbooks/textbooks/1016
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University, A. S. S. F. s. B. E. D. T. S. M. (2026). LINEAR ALGEBRA AND ITS APPLICATIONS. zenodo.org. https://doi.org/10.5281/zenodo.20377494
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Raundal, A. K. (2022). A Study on the Linear Algebra. zenodo.org. https://doi.org/10.5281/zenodo.7338672
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