Learn everything from Linear Algebra, then test your knowledge with 400+ practice questions
Instructed by Krista King 15 hours on-demand video, 98 article, 171 downloadable resources.
What you’ll learn
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Operations on one matrix, including solving linear systems, and Gauss-Jordan elimination
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Operations on two matrices, including matrix multiplication and elimination matrices
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Matrices as vectors, including linear combinations and span, linear independence, and subspaces
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Dot products and cross products, including the Cauchy-Schwarz and vector triangle inequalities
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Matrix-vector products, including the null and column spaces, and solving Ax=b
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Transformations, including linear transformations, projections, and composition of transformations
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Inverses, including invertible and singular matrices, and solving systems with inverse matrices
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Determinants, including upper and lower triangular matrices, and Cramer’s rule
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Transposes, including their determinants, and the null (left null) and column (row) spaces of the transpose
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Orthogonality and change of basis, including orthogonal complements, projections onto a subspace, least squares, and changing the basis
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Orthonormal bases and Gram-Schmidt, including definition of the orthonormal basis, and converting to an orthonormal basis with the Gram-Schmidt process
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Eigenvalues and Eigenvectors, including finding eigenvalues and their associate eigenvectors and eigenspaces, and eigen in three dimensions
Who this course is for:
- Current Linear Algebra students, or students about to start Linear Algebra who are looking to get ahead
- Anyone who wants to study math for fun after being away from school for a while
- Anyone who needs Linear Algebra as a prerequisite for Machine Learning, Deep Learning, Artificial
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