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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F713cce4a-87a5-4342-abee-be55fd30ab8b%2Fbd8d8c90-7874-4351-9073-270bfd6947d7%2Fklw7yw_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F713cce4a-87a5-4342-abee-be55fd30ab8b%2Fbd8d8c90-7874-4351-9073-270bfd6947d7%2F1pnbpf_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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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