For system of a linear equations Ax = b, where A is the coefficient matrix, and x and b are vectors. If the rank of A is equal to the rank of the augmented matrix [A| b], then the system has a unique solution. O True O False
For system of a linear equations Ax = b, where A is the coefficient matrix, and x and b are vectors. If the rank of A is equal to the rank of the augmented matrix [A| b], then the system has a unique solution. O True O False
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 97E
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![For system of a linear equations Ax = b, where A is the coefficient
matrix, and x and b are vectors.
If the rank of A is equal to the rank of the augmented matrix [A|
b], then the system has a unique solution.
True
False](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fefd43428-a6d4-43a6-a7a1-30ffa53d60c5%2F15e9abe6-3ae5-4474-8e26-20a289f91939%2Flqstko6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For system of a linear equations Ax = b, where A is the coefficient
matrix, and x and b are vectors.
If the rank of A is equal to the rank of the augmented matrix [A|
b], then the system has a unique solution.
True
False
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