Matrix Crossword Puzzle

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123456789101112
Across
  1. 3. A square matrix with ones on the main diagonal and zeros elsewhere.
  2. 5. A rectangular array of numbers.
  3. 10. The operation of switching rows and columns of a matrix.
  4. 12. Square matrix with its inverse equal to its transpose.
Down
  1. 1. A matrix where the transpose is the same as the original.
  2. 2. A property of a square matrix with a nonzero determinant.
  3. 4. A scalar value that can be computed for a square matrix.
  4. 6. A square matrix with a determinant of zero.
  5. 7. A matrix where all elements outside the main diagonal are zeros.
  6. 8. A matrix with all elements equal to zero.
  7. 9. A matrix with only one row or one column.
  8. 11. A matrix with the same number of rows and columns.