Cross-product-word Puzzle

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Across
  1. 3. all leading entries (pivots) are 1, and each pivot is the only non-zero entry in its column
  2. 6. A system of linear equations A*x = b is ____________if b = 0.
  3. 8. The horizontal arrangement of elements within a matrix
  4. 9. The set of all possible outcomes of a linear transformation
  5. 10. A programming language and numeric computing environment that allows matrix manipulations
  6. 11. The ___ ________ of a linear transformation T is the set of vectors v in its domain such that T(v) = 0.
  7. 12. A rectangular array of numbers arranged in rows and columns
  8. 13. the set of all possible linear combinations of its column vectors
Down
  1. 1. An n-by-n square matrix whose product and its inverse is the identity matrix
  2. 2. The condition when no two vectors in a set are multiples of each other (linear ___________)
  3. 4. The vertical arrangement of elements within a matrix
  4. 5. A system of linear equations is __________ if it has at least one solution. See also: inconsistent.
  5. 7. A linear ___________ is a sum of the scalar multiples of the elements in a basis set.