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Let Ax = b be a system of linear equations where A is an m x n matrix and b is an m x 1 column vector and X is an n x 1 column vector of unknown. Which of the following is false?a)The system has a solution if and only if, both A and the augmented matrix [Ab]have the same rank.b)If m < n and b is zero vector, then the system has infinitely many solutions.c)If m = n and b is non-zerovector, them the system has a unique solution.d)The system will have only a trivial solution when m = n, b is the zero vector and rank (A) = nCorrect answer is option 'C'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let Ax = b be a system of linear equations where A is an m x n matrix and b is an m x 1 column vector and X is an n x 1 column vector of unknown. Which of the following is false?a)The system has a solution if and only if, both A and the augmented matrix [Ab]have the same rank.b)If m < n and b is zero vector, then the system has infinitely many solutions.c)If m = n and b is non-zerovector, them the system has a unique solution.d)The system will have only a trivial solution when m = n, b is the zero vector and rank (A) = nCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let Ax = b be a system of linear equations where A is an m x n matrix and b is an m x 1 column vector and X is an n x 1 column vector of unknown. Which of the following is false?a)The system has a solution if and only if, both A and the augmented matrix [Ab]have the same rank.b)If m < n and b is zero vector, then the system has infinitely many solutions.c)If m = n and b is non-zerovector, them the system has a unique solution.d)The system will have only a trivial solution when m = n, b is the zero vector and rank (A) = nCorrect answer is option 'C'. Can you explain this answer?.

Solutions for Let Ax = b be a system of linear equations where A is an m x n matrix and b is an m x 1 column vector and X is an n x 1 column vector of unknown. Which of the following is false?a)The system has a solution if and only if, both A and the augmented matrix [Ab]have the same rank.b)If m < n and b is zero vector, then the system has infinitely many solutions.c)If m = n and b is non-zerovector, them the system has a unique solution.d)The system will have only a trivial solution when m = n, b is the zero vector and rank (A) = nCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mathematics. Download more important topics, notes, lectures and mock test series for Mathematics Exam by signing up for free.

Here you can find the meaning of Let Ax = b be a system of linear equations where A is an m x n matrix and b is an m x 1 column vector and X is an n x 1 column vector of unknown. Which of the following is false?a)The system has a solution if and only if, both A and the augmented matrix [Ab]have the same rank.b)If m < n and b is zero vector, then the system has infinitely many solutions.c)If m = n and b is non-zerovector, them the system has a unique solution.d)The system will have only a trivial solution when m = n, b is the zero vector and rank (A) = nCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Let Ax = b be a system of linear equations where A is an m x n matrix and b is an m x 1 column vector and X is an n x 1 column vector of unknown. Which of the following is false?a)The system has a solution if and only if, both A and the augmented matrix [Ab]have the same rank.b)If m < n and b is zero vector, then the system has infinitely many solutions.c)If m = n and b is non-zerovector, them the system has a unique solution.d)The system will have only a trivial solution when m = n, b is the zero vector and rank (A) = nCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Let Ax = b be a system of linear equations where A is an m x n matrix and b is an m x 1 column vector and X is an n x 1 column vector of unknown. Which of the following is false?a)The system has a solution if and only if, both A and the augmented matrix [Ab]have the same rank.b)If m < n and b is zero vector, then the system has infinitely many solutions.c)If m = n and b is non-zerovector, them the system has a unique solution.d)The system will have only a trivial solution when m = n, b is the zero vector and rank (A) = nCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Let Ax = b be a system of linear equations where A is an m x n matrix and b is an m x 1 column vector and X is an n x 1 column vector of unknown. Which of the following is false?a)The system has a solution if and only if, both A and the augmented matrix [Ab]have the same rank.b)If m < n and b is zero vector, then the system has infinitely many solutions.c)If m = n and b is non-zerovector, them the system has a unique solution.d)The system will have only a trivial solution when m = n, b is the zero vector and rank (A) = nCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Let Ax = b be a system of linear equations where A is an m x n matrix and b is an m x 1 column vector and X is an n x 1 column vector of unknown. Which of the following is false?a)The system has a solution if and only if, both A and the augmented matrix [Ab]have the same rank.b)If m < n and b is zero vector, then the system has infinitely many solutions.c)If m = n and b is non-zerovector, them the system has a unique solution.d)The system will have only a trivial solution when m = n, b is the zero vector and rank (A) = nCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Mathematics tests.