Category
Linear Algebra
Matrices, vector spaces, and the structure underneath.
Linear algebra is the structure behind everything that behaves predictably under scaling and addition. Matrices are the notation; vector spaces are the idea being written down.
Problems here involve determinants, matrix operations, systems of equations, eigenvalues and linear independence. Small matrices are worth computing by hand — the pattern in the answer usually explains the general case.
Latest problems
16 problems
Determinant of a rank-one update
1167
4
Eigenvalues of a symmetric pair
917
5
Multiplying a vector by a matrix
917
4
Determinant of a Matrix Squared
833
4
Matrix Rank
667
2
Sum of Eigenvalues
667
2
A Determinant in Disguise
1158
21
A Matrix Grows Up
1498
15
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