Consider a system of linear equations Ar=b that A is nxn. in n unknowns with augmented matrix (4|6). Which option is not correct? دستگاه معادلات خطی Ax = b را در نظر بگیرید 4 ماتریس nxn مربعی است و (4b) ماتریس افزوده کدام گزینه درست نیست؟ The system has no a solution if and only if Rank (41b) Rank(A) Rank(Ab) Rank(4) Sams The solution is not unique if and only if Rank (Alb) = Rank(A)
Consider a system of linear equations Ar=b that A is nxn. in n unknowns with augmented matrix (4|6). Which option is not correct? دستگاه معادلات خطی Ax = b را در نظر بگیرید 4 ماتریس nxn مربعی است و (4b) ماتریس افزوده کدام گزینه درست نیست؟ The system has no a solution if and only if Rank (41b) Rank(A) Rank(Ab) Rank(4) Sams The solution is not unique if and only if Rank (Alb) = Rank(A)
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:Consider a system of linear equations Ar=b that A is nxn. in a unknowns with
augmented matrix (Ab). Which option is not correct?
دستگاه معادلات خطی Ax = b را در نظر بگیرید 4 ماتریس nxn مربعی است و (Ab ماتریس افزوده
کدام گزینه درست نیست؟
The system has no a solution if and only if Rank(Ab) Rank(4)
Rank(Ab) = Rank (4) hb aliis
The solution is not unique if and only if Rank (4|b) = Rank(A) <n
Rank(A|b) = Rank(4) <now
The system has a solution if and only if Rank (41b) - Rank(4) +1
Rank (Ab) = Rank(4) +15 b
The solution is unique if and only if Rank(41b) - Rank(4)-n
Rank(Ab) = Rank(A) = ale lep
.a
.b
.C
.d
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