Linear Algebra · Weekly Quiz
Weekly Quizzes
A short quiz is held each week covering the material from that week's lectures. Quizzes are 15 minutes and consist of 5 multiple-choice questions. Sign in to take this week's quiz — your grades are saved to your account.
Week 1
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Week 2
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Systems of Linear Equations
Covers: row operations, solution sets, consistency
Jan 16, 2026
Echelon Forms & Free Variables
Covers: REF, RREF, pivot positions, parametric solutions
Jan 23, 2026
Week 3
Complete
Matrix Algebra
Covers: matrix multiplication, transpose, invertibility
Jan 30, 2026
Week 4
Complete
Determinants
Covers: cofactor expansion, det properties, Cramer's rule
Feb 6, 2026
Week 5
Complete
Vector Spaces I
Covers: definition, subspaces, null space, column space
Feb 13, 2026
Week 6
Complete
Bases & Dimension
Covers: linear independence, basis, rank-nullity theorem
Feb 20, 2026
Week 7
Upcoming
Eigenvalues & Eigenvectors
Covers: characteristic equation, eigenspaces, diagonalization
Feb 27, 2026
Week 8
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Diagonalization
Covers: diagonalizable matrices, powers of matrices
Mar 6, 2026
Week 9
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Orthogonality & Least Squares
Covers: inner products, orthogonal sets, projections
Mar 13, 2026
Week 10
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Gram-Schmidt & Symmetric Matrices
Covers: Gram-Schmidt process, spectral theorem
Mar 20, 2026
Week 11
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Linear Transformations
Covers: kernel, image, matrix of a transformation
Mar 27, 2026
Week 12
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Singular Value Decomposition
Covers: SVD, pseudoinverse, low-rank approximation
Apr 3, 2026
Week 13
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Applications
Covers: PCA, Markov chains, graph theory, graphics
Apr 10, 2026