This text covers the core concepts and techniques of elementary linear algebra―matrices and linear systems, vector spaces, eigensystems, and matrix exponentials―that are needed for a careful introduction to differential equations. The differential equations and linear algebra are well-integrated. Complementing this solid foundation, the text emphasizes mathematical modeling of real-world phenomena, and offers a fresh new computational flavor evident in figures, examples, problems, and projects throughout.

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For courses in Differential Equations and Linear Algebra in departments of math and engineering. This text covers the core concepts and techniques of elementary linear algebra-matrices and linear systems, vector spaces, eigensystems, and matrix exponentials-that are needed for a careful introduction to differential equations. The differential equations and linear algebra are well-integrated. Complementing this solid foundation, the text emphasizes mathematical modeling of real-world phenomena, and offers a fresh new computational flavor evident in figures, examples, problems, and projects throughout.

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