I just finished https://www.amazon.com/exec/obidos/.../102-8371051-2688163?_encoding=UTF8&v=glance" by G. Shilov, but I don't know which one to pick.(adsbygoogle = window.adsbygoogle || []).push({});

Here are their TOCs:

An Introduction to Linear Algebra- L. Mirksy

Part 1 - Determinants, Vectors, Matrices, and Linear Eqations

I. Determinants

II. Vector Spaces and Linear Manifolds

III. The Algebra of Matrices

IV. Linear Operators

V. Systems of Linear Equations and Rank of Matrices

VI. Elementary Operations and the Concept of Equivalence

Part 2 - Further Development of Matrix Theory

VII. The Characteristic Equation

VIII. Orthogonal and Unitary Matrices

IX. Groups

X. Canonical Forms

XI. Matrix Analysis

Part 3 - Quadratic Forms

XII. Bilinear, Quadratic, and Hermitian Forms

XIII. Definite and Indefinite Forms

Linear Algebra- G. Shilov

I. Determinants

II. Linear Spaces

III. Systems of Linear Equations

IV. Linear Functions of a Vector Argument

V. Coordinate Transformations

VI. The Canonical Form of the Matrix of a Linear Operator

VII. Bilinear and Quadratic Forms

VIII. Euclidean Spaces

IX. Unitary Spaces

X. Quadratic Forms in Euclidean and Unitary Spaces

XI. Finite-Dimensional Algebras and their Representations

I'd appreciate any help. And if you pick one, could you please explain your choice? I'm also open to other suggestions, but please keep in mind the following:

1. I'm on a very limited budget

2. I'm only a high school senior, so nothingtooadvanced!

Thank you.

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# Help me pick the better textbook

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