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Strengthen your understanding of key linear algebra topics with these filled-in guided notes, the completed versions of the free notes used in my 7-video Linear Algebra Review Series. Every explanation, solution step, and worked-out example is included to support studying, practice, and exam review. For the best learning experience, use these notes together with the corresponding YouTube review videos.
Topics reviewed:
• Solving linear systems and row-reduction techniques
• Matrix operations and inverses
• Linear transformations and standard matrices
• Determinants and Cramer’s Rule
• Vector spaces, linear independence, basis, dimension, and rank
• Eigenvalues, eigenvectors, and diagonalization
• Orthogonality, projections, and the Gram–Schmidt process
Designed specifically for midterm and final exam preparation, these notes provide a clean, structured summary of the most essential linear algebra concepts.
• Purchasers may download and print for personal study.
• Teachers may use with their own students (print or digital).
• Sharing, uploading, reselling, or redistributing is strictly prohibited.
• For multi-teacher or school-wide licensing, email contact@understandthemath.com
Strengthen your understanding of key linear algebra topics with these filled-in guided notes, the completed versions of the free notes used in my 7-video Linear Algebra Review Series. Every explanation, solution step, and worked-out example is included to support studying, practice, and exam review. For the best learning experience, use these notes together with the corresponding YouTube review videos.
Topics reviewed:
• Solving linear systems and row-reduction techniques
• Matrix operations and inverses
• Linear transformations and standard matrices
• Determinants and Cramer’s Rule
• Vector spaces, linear independence, basis, dimension, and rank
• Eigenvalues, eigenvectors, and diagonalization
• Orthogonality, projections, and the Gram–Schmidt process
Designed specifically for midterm and final exam preparation, these notes provide a clean, structured summary of the most essential linear algebra concepts.
• Purchasers may download and print for personal study.
• Teachers may use with their own students (print or digital).
• Sharing, uploading, reselling, or redistributing is strictly prohibited.
• For multi-teacher or school-wide licensing, email contact@understandthemath.com