Problem 7Let A be an m x n matrix. Suppose that m > n.(a) Can we conclude that the system Ax = 0 has more than one solution? or can we concludethat the system Ax = 0 has no solutions? or can we conclude that the system Ax = 0 hasa unique solution? or this can not be determined by the given information?(b) Is it possible that for some column vector b of size n, the system Ax=b has no solution?or for any vector b the system Ax= b has at least one solution? or this can not bedetermined by the given information?(c) Is it possible that for some column vector b of size n, the system Ax = b has a uniquesolution? or for any vector b the system Ax= c has either infinitely many solutions or nosolutions? or this can not be determined by the given information?

Answered: Let A be an m x n matrix. Suppose that…

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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Create a matrix that has a11 = a22 = a33 = 1 but elimination produces two negative pivots without row exchanges. (The first pivot is 1.)
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