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3. Assuming m n. Let A be m × n and the linear transformation T(7)= AF be one-to-one. (a) Circle the right answer: m > n, т < п. (b) The rank of AT A is (c) The dimension of Row A is (d) Does AT A have a zero eigenvalue? Yes No (e) Does AAT have a zero eigenvalue? Yes No

3. Assuming m n. Let A be m × n and the linear transformation T(7)= AF be one-to-one. (a) Circle the right answer: m > n, т < п. (b) The rank of AT A is (c) The dimension of Row A is (d) Does AT A have a zero eigenvalue? Yes No (e) Does AAT have a zero eigenvalue? Yes No

Advanced Engineering Mathematics
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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3. Assuming m + n. Let A be m x n and the linear transformation T(7)= AT be one-to-one. (a) Circle the right answer: т> п, т <п. (b) The rank of ATA is (c) The dimension of Row A is (d) Does A" A have a zero eigenvalue? Yes No (e) Does AAT have a zero eigenvalue? Yes No
Transcribed Image Text:3. Assuming m + n. Let A be m x n and the linear transformation T(7)= AT be one-to-one. (a) Circle the right answer: т> п, т <п. (b) The rank of ATA is (c) The dimension of Row A is (d) Does A" A have a zero eigenvalue? Yes No (e) Does AAT have a zero eigenvalue? Yes No
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