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A is a 3×5 real matrix of rank 2. For the set of homogeneous equations Ax = 0, where 0 is a zero vector and x is a vector of unknown variables, which of the following is/are true?
  • a)
    The given set of equations will have a unique solution.
  • b)
    The given set of equations will be satisfied by a zero vector of appropriate size.
  • c)
    The given set of equations will have infinitely many solutions.
  • d)
    The given set of equations will have many but a finite number of solutions.
Correct answer is option 'B,C'. Can you explain this answer?
Most Upvoted Answer
A is a 3×5 real matrix of rank 2. For the set of homogeneous equ...
Given : A is a (3´ 5) real matrix,

Rank of matrix ρ(A)= 2 , that means there must be two linearly independent rows, also |A|3x3 = 0 . It shows A|3x3
will have non-trivial solution or infinitely many solutions. ( AX = 0, set of homogenous equation)
Hence, the correct option are (B) and (C).
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Community Answer
A is a 3×5 real matrix of rank 2. For the set of homogeneous equ...
The statement "A is a 3" is incomplete and does not provide enough information to determine what A represents. Please provide more context or information.
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A is a 3×5 real matrix of rank 2. For the set of homogeneous equations Ax = 0, where 0 is a zero vector and x is a vector of unknown variables, which of the following is/are true?a)The given set of equations will have a unique solution.b)The given set of equations will be satisfied by a zero vector of appropriate size.c)The given set of equations will have infinitely many solutions.d)The given set of equations will have many but a finite number of solutions.Correct answer is option 'B,C'. Can you explain this answer?
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A is a 3×5 real matrix of rank 2. For the set of homogeneous equations Ax = 0, where 0 is a zero vector and x is a vector of unknown variables, which of the following is/are true?a)The given set of equations will have a unique solution.b)The given set of equations will be satisfied by a zero vector of appropriate size.c)The given set of equations will have infinitely many solutions.d)The given set of equations will have many but a finite number of solutions.Correct answer is option 'B,C'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A is a 3×5 real matrix of rank 2. For the set of homogeneous equations Ax = 0, where 0 is a zero vector and x is a vector of unknown variables, which of the following is/are true?a)The given set of equations will have a unique solution.b)The given set of equations will be satisfied by a zero vector of appropriate size.c)The given set of equations will have infinitely many solutions.d)The given set of equations will have many but a finite number of solutions.Correct answer is option 'B,C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A is a 3×5 real matrix of rank 2. For the set of homogeneous equations Ax = 0, where 0 is a zero vector and x is a vector of unknown variables, which of the following is/are true?a)The given set of equations will have a unique solution.b)The given set of equations will be satisfied by a zero vector of appropriate size.c)The given set of equations will have infinitely many solutions.d)The given set of equations will have many but a finite number of solutions.Correct answer is option 'B,C'. Can you explain this answer?.
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