Math 73 Creative Project

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Across
  1. 2. An ___________ of a matrix A is a non-zero vector v such that Av = λv
  2. 4. A set of vectors that spans a subspace and is linearly independent
  3. 7. For an n × n matrix A, it is ___________ if and only if it is orthogonally diagonalizable
  4. 9. A specific inner product operation that maps two vectors to a single number
  5. 10. The process used to construct an orthogonal basis from a set of vectors
  6. 11. A square matrix is ___________ diagonalizable if there exists an orthogonal matrix Q such that Q^T A Q = D
  7. 12. A collection of vectors in ℝⁿ that contains the zero vector and is closed under addition and scalar multiplication
Down
  1. 1. A set of vectors that is not linearly dependent
  2. 3. The number of vectors in a basis for a subspace S
  3. 5. The set of all possible linear combinations of a set of vectors
  4. 6. The decomposition of a matrix A into QR, where Q has orthonormal columns
  5. 8. A mapping that satisfies T(u+v) = T(u) + T(v) and T(cu) = cT(u)