Linear? I Barely Know Her

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Across
  1. 2. Not inner or dot product.
  2. 4. The __________ of a matrix is a scalar that tells us whether or not the matrix is invertible.
  3. 7. A linear _____________ from a vector space V to a vector space W is a mapping.
  4. 10. Typically described as the "image" of T:U-->V. Also the term "onto" is an indicator of this.
  5. 11. The ________ product is an operation that assigns a real number (to vectors u and v)to each pair of vectors
Down
  1. 1. Unique description for a linear transformation is one-to-one and onto.
  2. 3. We call a matrix orthogonal if its columns have these types of sets.
  3. 5. greek letter associated with eigenvalues
  4. 6. This operation is when EVERYTHING is reduced in a matrix to a bunch of 1's and 0's.
  5. 8. The matrix you received when you multiply matrix A and its inverse together.
  6. 9. Typically used to determine if the linear transformation is one-to-one.
  7. 12. _____ + nullity = col(A)