Let T be an linear transformation from R" to Rº. Let A be the matrix associated to T. Fill in the correct answer for each of the following situations. 1. Two rows in the row-echelon form of A do not have pivots. 2. The row-echelon form of A has a row of zeros. 3. The row-echelon form of A has a pivot every column. 4. Every row in the row-echelon form of A has a pivot. A. T is not onto B. T is onto C. There is not enough information to tell.
Let T be an linear transformation from R" to Rº. Let A be the matrix associated to T. Fill in the correct answer for each of the following situations. 1. Two rows in the row-echelon form of A do not have pivots. 2. The row-echelon form of A has a row of zeros. 3. The row-echelon form of A has a pivot every column. 4. Every row in the row-echelon form of A has a pivot. A. T is not onto B. T is onto C. There is not enough information to tell.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Let T be an linear transformation from R" to Rº. Let A be the matrix associated to T.
Fill in the correct answer for each of the following situations.
1. Two rows in the row-echelon form of A do not have pivots.
2. The row-echelon form of A has a row of zeros.
3. The row-echelon form of A has a pivot
every column.
4. Every row in the row-echelon form of A has a pivot.
A. T is not onto
B. T is onto
C. There is not enough information to tell.
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