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Mark the correct definition of rank of a matrix
  • a)
    A number r is said to be the rank of the matrix A if every minor of order (r + 1) vanishes
  • b)
    A number r is said to be the rank of the matrix A if there exists at least one minor of order r which does not vanish
  • c)
    A number r is said to be the rank of the matrix A if there exists at least one minor of order r which does not vanish and every minor of order (r + l)vanishes
  • d)
    A number r is said to be the rank of the matrix A if the determinant of any r x r sub matix of A is non — zero
Correct answer is option 'C'. Can you explain this answer?
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Mark the correct definition of rank of a matrixa)A number r is said to...
C) A number r is said to be the rank of the matrix A if there exists at least one minor of order r which does not vanish and every minor of order (r-1) vanishes.
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Mark the correct definition of rank of a matrixa)A number r is said to...
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Mark the correct definition of rank of a matrixa)A number r is said to be the rank of the matrix A if every minor of order (r + 1) vanishesb)A number r is said to be the rank of the matrix A if there exists at least one minor of order r which does not vanishc)A number r is said to be the rank of the matrix A if there exists at least one minor of order r which does not vanish and every minor of order (r + l)vanishesd)A number r is said to be the rank of the matrix A if the determinant of any r x r sub matix of A is non — zeroCorrect answer is option 'C'. Can you explain this answer?
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Mark the correct definition of rank of a matrixa)A number r is said to be the rank of the matrix A if every minor of order (r + 1) vanishesb)A number r is said to be the rank of the matrix A if there exists at least one minor of order r which does not vanishc)A number r is said to be the rank of the matrix A if there exists at least one minor of order r which does not vanish and every minor of order (r + l)vanishesd)A number r is said to be the rank of the matrix A if the determinant of any r x r sub matix of A is non — zeroCorrect 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 Mark the correct definition of rank of a matrixa)A number r is said to be the rank of the matrix A if every minor of order (r + 1) vanishesb)A number r is said to be the rank of the matrix A if there exists at least one minor of order r which does not vanishc)A number r is said to be the rank of the matrix A if there exists at least one minor of order r which does not vanish and every minor of order (r + l)vanishesd)A number r is said to be the rank of the matrix A if the determinant of any r x r sub matix of A is non — zeroCorrect 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 Mark the correct definition of rank of a matrixa)A number r is said to be the rank of the matrix A if every minor of order (r + 1) vanishesb)A number r is said to be the rank of the matrix A if there exists at least one minor of order r which does not vanishc)A number r is said to be the rank of the matrix A if there exists at least one minor of order r which does not vanish and every minor of order (r + l)vanishesd)A number r is said to be the rank of the matrix A if the determinant of any r x r sub matix of A is non — zeroCorrect answer is option 'C'. Can you explain this answer?.
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