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Let T be an linear transformation from ℝr to ℝs. Let A be the matrix associated...

Let T be an linear transformation from ℝr to ℝs. Let A be the matrix associated to T.

Fill in the correct answer for each of the following situations (enter your answers as A, B, or C).

  1. Every row in the row-echelon form of A has a leading entry.
  2. Two rows in the row-echelon form of A do not have leading entries.
  3. The row-echelon form of A has a leading entry in every column.
  4. The row-echelon form of A has a row of zeros.

A. T is not surjective
B. T is surjective
C. There is not enough information to tell.

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