# Linear Algebra

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This course on Linear Algebra is meant for first year undergraduates or college students. It presents the subject in a visual geometric way, with special orientation to applications and understanding of key concepts. The subject naturally sits inside affine algebraic geometry. Flexibility in choosing coordinate frameworks is essential for understanding the subject. Determinants also play an important role, and these are introduced in the context of multi-vectors in the sense of Grassmann. NJ Wildberger is also the developer of Rational Trigonometry: a new and better way of learning and using trigonometry.

### Course Curriculum

 WildLinAlg1: Introduction to Linear Algebra Details 43:31 WildLinAlg2: Geometry with vectors Details 44:15 WildLinAlg3: Center of mass and barycentric coordinates Details 48:11 WildLinAlg4: Area and volume Details 56:8 WildLinAlg5:Change of coordinates and determinants Details 48:41 WildLinAlg6: Applications of 2×2 matrices Details 43:52 WildLinAlg7: More applications of 2×2 matrices Details 55:17 WildLinAlg8: Inverting 3×3 matrices Details 45:49 WildLinAlg9: Three dimensional affine geometry Details 43:7 WildLinAlg10: Equations of lines and planes in 3D Details 1:8:52 WildLinAlg11: Applications of 3×3 matrices Details 53:41 WildLinAlg12: Generalized dilations and eigenvectors Details 55:35 WildLinAlg13: Solving a system of linear equations Details 49:13 WildLinAlg14: More row reduction with parameters Details 49:13 WildLinAlg15: Applications of row reduction (Gaussian elimination) Details 41:38 WildLinAlg16: Applications of row reduction II Details 57:14 WildLinAlg17: Rank and Nullity of a Linear Transformation Details 1:1:9 WildLinAlg18: The geometry of a system of linear equations Details 1:8:59 WildLinAlg19: Linear algebra with polynomials Details 46:14 WildLinAlg20: Bases of polynomial spaces Details 59:50 WildLinAlg21: More bases of polynomial spaces Details 45:52 WildLinAlg22: Polynomials and sequence spaces Details 1:49 WildLinAlg23: Stirling numbers and Pascal triangles Details 58:45

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