5. Which of the following se:ntences is falsea) The determinant «.f A-B equals det A – det Bb) If A is not invertil.le then AB is not invertiblec) The determinant of A is ± the product of its pivotsd) AB and BA have the same determinante) All sentences are falseO O 6. The vector (1,1,-1) belongs to the left nullspace of a matrix. Choose the rightsentence:a) The matrix has three columnsb) The matrix has three rows and they are linearly independentc) The third row is equal to the sum of the first and second rowsd) The third column is equal to the sum of the first and second columns of thematrixe) None of the above8/9

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Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

5. Which of the following se:ntences is false
a) The determinant «.f A-B equals det A – det B
b) If A is not invertil.le then AB is not invertible
c) The determinant of A is ± the product of its pivots
d) AB and BA have the same determinant
e) All sentences are false
O O

6. The vector (1,1,-1) belongs to the left nullspace of a matrix. Choose the right
sentence:
a) The matrix has three columns
b) The matrix has three rows and they are linearly independent
c) The third row is equal to the sum of the first and second rows
d) The third column is equal to the sum of the first and second columns of the
matrix
e) None of the above
8/9

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