Titlebook: Introduction to Linear and Matrix Algebra; Nathaniel Johnston Textbook 2021 Springer Nature Switzerland AG 2021 First course in linear alg

尾随

Unraveling Matrices,. Most of the matrix properties that we will look at in this chapter come from thinking about how they act on certain subspaces, and trying to find particular subspaces of . where they behave “nicely”. For example, consider the matrix .which acts as a linear transformation on . in the manner shown i

休战

Vectors and Geometry,This chapter serves as an introduction to the various objects—vectors, matrices, and linear transformations—that are the central focus of linear algebra. Instead of investigating what we can do with these objects, for now we simply focus on understanding their basic properties, how they interact with each other, and their geometric intuition.

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Linear Systems and Subspaces,In this chapter, we start introducing some more interesting and useful properties of matrices and linear transformations. While we begin the chapter by motivating these various properties via systems of linear equations, it is important to keep in mind that systems of linear equations are just . of the many uses of matrices.

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https://doi.org/10.1007/978-3-030-52811-9First course in linear algebra textbook; Linear algebra textbook; Matrix algebra textbook; Linear algeb

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