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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)

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 4CC
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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
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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