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matrices, and denote with AT, respectively BT, H A,B be mxn of A, respectively of B Then it is neccesarily true that: a) the rank of BTA is r(BTA) >r(AT) b) the rank of BTA is r(BTA)=r(AT) c) the rank of AT ABT is r(ATAB) ≤ r(B)

matrices, and denote with AT, respectively BT, H A,B be mxn of A, respectively of B Then it is neccesarily true that: a) the rank of BTA is r(BTA) >r(AT) b) the rank of BTA is r(BTA)=r(AT) c) the rank of AT ABT is r(ATAB) ≤ r(B)

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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The correct answer is C but how can I know for sure do I have to invent a matrix for A and B ??
A, B be mxn matrices, and denote with AT, respectively BT, the traspose of A, respectively of B Then it is neccesarily true that: a) the rank of BTA is r(BTA) >r(AT) b) the rank of BTA is r(BTA)=r(AT) c) the rank of AT ABT is r(ATAB) ≤ r(B)
Transcribed Image Text:A, B be mxn matrices, and denote with AT, respectively BT, the traspose of A, respectively of B Then it is neccesarily true that: a) the rank of BTA is r(BTA) >r(AT) b) the rank of BTA is r(BTA)=r(AT) c) the rank of AT ABT is r(ATAB) ≤ r(B)
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