Testbank for Elementary Linear Algebra (6th Edition) Andrilli & Hecker - Solutions Manual & Sample Tests

Elementary Linear Algebra (6th Edition)
Andrilli & Hecker – Solutions Manual
with Sample Tests

if a linear system has n variables and m equations, then the augmented matrix has n rows -
answer-F



a consistent linear system must have infinitely many solutions - answer-F



if a row operation is done to a consistent linear system, the resulting system must be
consistent. - answer-T



if a series of row operations on a linear system results in an inconsistent system, the original
system is inconsistent - answer-T



if there is more than one solution A has a row of zeros - answer-F



if A has a row of zeros, there is more than one solution - answer-F



if there is no solution, the reduced row echelon form of C has a row of zeros - answer-T



if the row echelon form of C has a row of zeros, there is no solution - answer-F



there is no system that is inconsistent for every choice of constants - answer-T


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, if the system is consistent for some choice of constants, it is consistent for every choice of
constants - answer-F



if the system is consistent, there is more than one solution - answer-T



the rank of A is at most 3 - answer-T



if the rank A=3 the system is consistent - answer-F



if the rank C=3 the system is consistent - answer-T



if the system is homogeneous every solution is trivial - answer-F



if the system has a nontrivial solution, it cannot be homogeneous - answer-F



if there exists a trivial solution, the system is homogeneous - answer-T



if the system is consistent, it must be homogeneous - answer-F



if there exists a nontrivial solution, there is no trivial solution - answer-F



if there exists a solution, there are infinitely many solutions - answer-F



if there exist nontrivial solutions, the row echelon form of A has a row of zeroes - answer-F

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