Aprenda Álgebra linear do zero - tudo sobre Vetores

Explore the fundamentals of linear algebra, a cornerstone of modern science and technology! This course delves into the core concepts of linear algebra, revealing its profound connections across diverse fields like computer science, economics, engineering, physics, mathematics, chemistry, and statistics.

You'll discover how linear algebra provides a unifying framework for seemingly disparate mathematical objects. We'll unravel the mathematical relationships between concepts like matrices and functions, building a strong foundation for further study.

This first volume focuses on vector spaces, the essential building block of linear algebra. We'll explore vectors in detail, using a step-by-step, objective, and visually-rich approach with numerous solved examples. This self-contained course ensures you have all the necessary knowledge integrated throughout.

By the end of this course, you will be able to:

• Identify scalars, vectors, and differentiate between a vector and a tensor.
• Perform basic algebraic operations with vectors and scalars.
• Calculate vector norms, dot products, and cross products.
• Determine parallelism and orthogonality of vectors.
• Obtain rotation matrices for coordinate systems.
• Understand the relationship between linear algebra and analytical geometry, including calculating distances between points.

This course provides detailed, step-by-step mathematical explanations, making it ideal for beginners. Start your journey into the world of linear algebra today!