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For two vectors u=(a b c)", v=(d e f)", where a,b,c,d,e,f are non-zero scalar values, then their outer product A may have the following properties, [1] the rank of A is independent of a,b,c,d,e,f; [2] A must be a low rank matrix; [3] The 1-norm of A must be independent of a,b,c,d,e,f. Then we can say that (a) [1], [2],[3] are all incorrect (b) only [2] is correct (c) only [1], [2] are correct (d) [1],[2],[3] are all correct

For two vectors u=(a b c)", v=(d e f)", where a,b,c,d,e,f are non-zero scalar values, then their outer product A may have the following properties, [1] the rank of A is independent of a,b,c,d,e,f; [2] A must be a low rank matrix; [3] The 1-norm of A must be independent of a,b,c,d,e,f. Then we can say that (a) [1], [2],[3] are all incorrect (b) only [2] is correct (c) only [1], [2] are correct (d) [1],[2],[3] are all correct

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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For two vectors u=(a b c)", v=(d e f)", where a,b,c,d,e,f are non-zero scalar values, then their outer product A may have the following properties, [1] the rank of A is independent of a,b,c,d,e,f; [2] A must be a low rank matrix; [3] The 1-norm of A must be independent of a,b,c,d,e,f. Then we can say that (a) [1],[2],[3] are all incorrect (b) only [2] is correct (c) only [1], [2] are correct (d) [1],[2],[3] are all correct
Transcribed Image Text:For two vectors u=(a b c)", v=(d e f)", where a,b,c,d,e,f are non-zero scalar values, then their outer product A may have the following properties, [1] the rank of A is independent of a,b,c,d,e,f; [2] A must be a low rank matrix; [3] The 1-norm of A must be independent of a,b,c,d,e,f. Then we can say that (a) [1],[2],[3] are all incorrect (b) only [2] is correct (c) only [1], [2] are correct (d) [1],[2],[3] are all correct
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