A system Ax = b, where A ∈ M_m×n(ℝ), x ∈ ℝⁿ, and b ∈ ℝᵐ, encodes m linear equations in n unknowns.

The book flows logically from vector spaces to linear transformations, determinants, and eigenvalues.

Unfortunately, I couldn't find a direct link to a free PDF of the book. However, I can suggest some possible sources where you might find the PDF:

If you are looking for you are likely a student or educator seeking one of the most respected introductory texts used in mathematics departments, particularly in Turkey (Middle East Technical University).

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