Linear Algebra Symbol

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Across
  1. 2. symbol name of scalar product.
  2. 4. symbol name of matrix transpose
  3. 5. symbol name of A*
  4. 7. symbol name of | A |.
  5. 9. symbol name of rank (A)
Down
  1. 1. symbol name of [ ].
  2. 2. symbol name of dim (U).
  3. 3. symbol name of ( ).
  4. 6. symbol name of vector product
  5. 8. meaning of double vertical bars