Consider a 3 x 3-matrix whose first row is a vector a, the second row is a vector b, and the third row is the vector 2a+3b. Is it true that the determinant of such a matrix is zero?
Consider a 3 x 3-matrix whose first row is a vector a, the second row is a vector b, and the third row is the vector 2a+3b. Is it true that the determinant of such a matrix is zero?
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.1: The Determinants Of A Matrix
Problem 70E: The determinant of a 22 matrix involves two products. The determinant of a 33 matrix involves six...
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![Consider a 3 x 3-matrix whose first row is a vector a, the second row is a
vector b, and the third row is the vector
2a+3b.
Is it true that the determinant of such a matrix is zero?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd890df71-cec7-4f99-9bf0-d4bd083ced54%2F35edc668-df63-4a2f-96c9-efb1a4c8d4c0%2Fuuzeesa_processed.png&w=3840&q=75)
Transcribed Image Text:Consider a 3 x 3-matrix whose first row is a vector a, the second row is a
vector b, and the third row is the vector
2a+3b.
Is it true that the determinant of such a matrix is zero?
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