docs: Linear Algebra review and docs restructure - Basics section complete#11
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docs: Linear Algebra review and docs restructure - Basics section complete#11
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- Add Cartesian Plane section and restructure coordinate system intro - Add Magnitude and Unit Vectors sections to Basics/01 Vectors - Change point notation from uppercase to lowercase for consistency - Uncomment Lines and Transformations pages in make.jl - Minor formatting fix in Dot Product document
… Vectors and Geometry.md and 2. fix link in Basics/01 Vectors.md to point to Geometry/03 Vectors and Geometry.md 3. Expose a few more files in docs/make.jl
- Replace retry loop with simple let block (matches Math_Foundations pattern) - Silent error handling to avoid MethodError in Task context - GR backend auto-configures on first plot if init fails
- Remove __init__() and module-level gr() calls - GR backend now set explicitly in plotting functions - Add ENV["GKSwstype"] = "100" in runtests.jl for CI headless mode
1. more examples to Basics.ipynb 2. added Linear Independence & Dependence section to 01 Vectors.md 3. fixed project activation in Linear_Algebra_Geometry.ipynb
- notebooks/Basics.ipynb: add Linear Combinations & Linear Dependency section with examples - docs/src/Basics/01 Vectors.md: add Linear System of Equations subsection, remove span (moved to geometry) - docs/src/Geometry/01 Points and Coordinates.md: add Span (Geometric View) section after Linear Independence - docs/src/Geometry/03 Vectors and Geometry.md: fix formatting, rename section to Geometric Formula for the Dot Product - docs/src/Geometry/04 Projections and Distance.md: fix cross-document links with proper anchor syntax - docs/src/Geometry/06 Transformations.md: fix link to geometric dot product formula - docs/make.jl: enable all geometry pages (04-09) and Systems of Equations in sidebar
…cedes Linear Trnsformsorms section.
…trices 01 Vectors.md: - Add Orthogonal and Orthonormal Vectors subsection after Dot Product Properties - Define orthogonal vectors (dot product equals zero) - Define orthonormal vectors (orthogonal + unit vectors) 02 Matrices.md: - Add property names to Transpose properties (Involution, Distributive, etc.) - Add property names to Orthogonal Matrix properties - Add property names to Determinant properties - Add property names to Matrix Inverse properties - Fix LaTeX bracket syntax using \lbrack/\rbrack for augmented matrices
- Renamed linear_algebra_basic.jl to linear_algebra_geometry.jl (point/line operations) - Created new linear_algebra_basic.jl with lin_ind_vec function for linear independence - Added tests for lin_ind_vec covering 2D/3D vectors, dependent/independent cases - Updated module exports and includes - Reorganized tests into test_linear_algebra_basic.jl and test_linear_algebra_geometry.jl
Move domain-specific instructions into .github/instructions/ with applyTo front matter so they load only when editing relevant files: - docs.instructions.md (docs/**): LaTeX, MathJax3, MathWorld, doc structure - testing.instructions.md (test/**): CI strategy, plotting patterns, test org - source.instructions.md (src/**): module structure, coding standards, signatures - notebooks.instructions.md (notebooks/**): notebook setup and guidelines Main copilot-instructions.md trimmed from 497 to 127 lines, keeping only universal content: project overview, workflows, git/PR conventions, communication patterns, Azure integration.
Add missing shared content to instruction files for cross-project consistency: docs.instructions.md: - Add context example and derivation reference (items 5,6) - Add project-specific grouping example (item 7) testing.instructions.md: - Add @test_throws/@test_broken mentions (item 14) - Add Plotting in Tests section with save conventions (item 12) - Add CI/CD Pipeline section (item 13) source.instructions.md: - Add Function Design Pattern code example (item 17) - Extract CI detection into separate section for consistency (item 18)
- improved matrix documentation
…c, add notebook examples
- Move systems of linear equations section from 02 Matrices to 04 Systems of Equations
- Merge matrix-specific solution criteria into Types of Solutions section
- Add homogeneous systems section to 04
- Fix broken LaTeX in 'No solution' description
- Update cross-references between documents
- Change identity matrix notation from I_{n×n} to standard I_n
- Add notebook examples for linear algebra basics
Reorganize the 4 Basics documents to align with Walz et al. Chapter 5: - 5.1 Vectors (01 - unchanged) - 5.2 Matrices (02 - slimmed: removed row ops, eigenvalues, decompositions, rank/nullity) - 5.3 Linear Systems → 03 Systems of Equations (renamed from 04; added Row Operations and Rank/Nullity sections) - 5.4 Analytical Geometry → 04 Analytic Geometry (renamed from 03 Linear Transformations; added position/connecting vectors, parameterized/parameter-free plane equations, normal vectors, cross product) Content moves: - Row Operations + Rank/Nullity moved from 02 Matrices into 03 Systems - Eigenvalues/Decompositions stored in Linear Algebra Old (gitignored) - Linear Transformations content preserved in 04 Analytic Geometry under demoted headings Updated all cross-references and make.jl pages list.
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Complete review and restructure of the Basics documentation section, including vectors, matrices, and systems of equations, with updated notebook examples.
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julia --project=. docs/make.jl.