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Mathematics for Data Science II · Quiz 1 · 26 Oct 2025 · September 2025 term · Set 6

Question 5: Let A be a square matrix of order n > 1. Select all the s…

Question 5

+6 marksOne or more correct options

Let A be a square matrix of order n > 1. Select all the statements which imply that det(A) = 0.

Select all that apply.

  1. A

    All the entries of one of the columns of A are zero.

  2. B

    One of the columns of A is a scalar multiple of another column.

  3. C

    The diagonal entries of A are all zero.

  4. D

    The determinant of the transpose of A is zero.

  5. E

    A2 = 0.

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Correct answers

  • A

    All the entries of one of the columns of A are zero.

  • B

    One of the columns of A is a scalar multiple of another column.

  • D

    The determinant of the transpose of A is zero.

  • E

    A2 = 0.

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Question 5 of 14 in the IIT Madras BS Mathematics for Data Science II (Maths 2) Quiz 1 paper sat on 26 Oct 2025, in the September 2025 term (IIT M IMPROVEMENT AN EXAM QIB4 26 Oct). It carries 6 marks.

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