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
A Polynomial Applied to Eigenvalues
1630
18
Determinant without the Matrix
1612
18
Linear Transformation Across y = 2x
1542
17
Sum of Squared Eigenvalues
1322
20
The Gap Between Eigenvalues
1328
17
The GCD Matrix's Secret
1333
12
Trace of a Growing Power
1500
13
Volume from Three Vectors
1308
33
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