BSMA1003 · Knowledge Base
Maths 2 Notes
25
Concepts
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Facts
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Procedures
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725 - Vectors- Introduction & Geometric Intuition
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726 - Matrices- Algebra, Types & Operations
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727 - Determinants- Computation, Properties & Cofactors
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728 - Gaussian Elimination- Solving Linear Systems
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729 - Cramer's Rule & Invertible Matrices
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730 - Vector Spaces- Definition & Properties
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731 - Subspaces- Definition, Testing & Examples
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732 - Linear Independence & Span
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733 - Basis & Dimension of Vector Spaces
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734 - Rank, Dimension & the Rank-Nullity Theorem
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735 - Null Space & Column Space of a Matrix
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736 - Linear Transformations- Definition & Properties
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737 - Kernel & Image of Linear Transformations
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738 - Matrix Representation of Linear Transformations
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739 - Equivalent & Similar Matrices
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740 - Affine Subspaces & Affine Mappings
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741 - Inner Products & Norms
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742 - Orthogonality & Orthonormal Bases
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743 - Gram-Schmidt Process & QR Decomposition
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744 - Orthogonal Transformations & Rotations
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745 - Multivariable Functions & Partial Derivatives
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746 - Directional Derivatives & The Gradient
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747 - Limits & Continuity for Multivariable Functions
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748 - Tangent Planes & Hyperplanes
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