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Which one of the following statements is incorrect for an upper triangular matrix A = (aij)?
  • a)
    A must be a sqare matrix
  • b)
    aij = 0 for all i > j
  • c)
    It is not necessary that the elements aij ≠ 0 for all i ≤ j 
  • d)
    The elements in the principal diagonal are necessarily zero.
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Which one of the following statements is incorrect for an upper triang...
B) aij = 0 for all i < />

An upper triangular matrix is a square matrix where all entries below the main diagonal (i.e., where i > j) are zero. So, aij can be non-zero for i = j.
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Which one of the following statements is incorrect for an upper triang...
Option B is the ryt ans.
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Which one of the following statements is incorrect for an upper triangular matrix A = (aij)?a)A must be a sqare matrixb)aij = 0 for all i > jc)It is not necessary that the elements aij ≠ 0 for all i ≤ jd)The elements in the principal diagonal are necessarily zero.Correct answer is option 'D'. Can you explain this answer?
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Which one of the following statements is incorrect for an upper triangular matrix A = (aij)?a)A must be a sqare matrixb)aij = 0 for all i > jc)It is not necessary that the elements aij ≠ 0 for all i ≤ jd)The elements in the principal diagonal are necessarily zero.Correct answer is option 'D'. 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 Which one of the following statements is incorrect for an upper triangular matrix A = (aij)?a)A must be a sqare matrixb)aij = 0 for all i > jc)It is not necessary that the elements aij ≠ 0 for all i ≤ jd)The elements in the principal diagonal are necessarily zero.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which one of the following statements is incorrect for an upper triangular matrix A = (aij)?a)A must be a sqare matrixb)aij = 0 for all i > jc)It is not necessary that the elements aij ≠ 0 for all i ≤ jd)The elements in the principal diagonal are necessarily zero.Correct answer is option 'D'. Can you explain this answer?.
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