Too Legit Vector Space & Eigenvector Crossword!

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Across
  1. 1. The subspace spanned by the column vectors of a matrix A.
  2. 3. If Ax is a scalar multiple of the vector x, then the vector x is an...
  3. 5. This type of matrix changes coordinates relative to an old basis "B" into coordinates relative to a new basis "B'".
  4. 7. The common dimension of the row space and column space of a matrix A.
  5. 9. The scalar associated with an eigenvector.
  6. 10. The subspace spanned by the row vectors of a matrix A.
Down
  1. 2. The equation whose solutions produce the eigenvalues of a matrix A.
  2. 4. The orthogonal ____________ is the subspace consisting of all vectors that are orthogonal to a subspace W.
  3. 6. The solution space of the homogeneous system of equations Ax=0.
  4. 8. The dimension of the null space of a matrix A.