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 1. Two columns in the row-echelon form of A are not pivot columns. 2. The row-echelon form of A has no column corresponding to a free variable. 3. Every column in the row-echelon form of A is a pivot column. 4. The row-echelon form of A has a column corresponding to a free variable. A. T is not one-to-one B. T is one-to-one C. There is not enough information to tell

Question

Mathematics

Krish Fox

30 November, 18:03

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 1. Two columns in the row-echelon form of A are not pivot columns. 2. The row-echelon form of A has no column corresponding to a free variable. 3. Every column in the row-echelon form of A is a pivot column. 4. The row-echelon form of A has a column corresponding to a free variable. A. T is not one-to-one B. T is one-to-one C. There is not enough information to tell

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Amari Lin · Answer 1

Answer: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 situation

... 1) Every row in the row - echelon form of A has a pivot

... 2) Two rows in the row - echelon form of A do not have pivots

... 3) The row - echelon form of A has a pivot in every column.

... 4) The row - echelon form of A has a row of zeros