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Mathematics for Data Science II · Quiz 2 · 20 Nov 2022 · September 2022 term

Maths 2 Quiz 2 20 Nov 2022 — Question 2

Question 2

+3 marksOne or more correct options

Which of the following options is/are true?

Select all that apply.

  1. A

    If A is a non-zero matrix of order 4×3 and rank of A is 3, then the rows of A are linearly independent.

  2. B

    If A is a non-zero matrix of order 4 × 3 and rank of A is 3, then the columns of A are linearly independent.

  3. C

    If A is a non-zero matrix of order m × (m + 1), m > 1, then the maximum possible nullity of A is m.

  4. D

    If A is a non-zero matrix of order 4 × 5 and rank of A is 3, then the dimension of the solution space of the homogeneous system Ax = 0 is 2.

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Correct answers

  • B

    If A is a non-zero matrix of order 4 × 3 and rank of A is 3, then the columns of A are linearly independent.

  • C

    If A is a non-zero matrix of order m × (m + 1), m > 1, then the maximum possible nullity of A is m.

  • D

    If A is a non-zero matrix of order 4 × 5 and rank of A is 3, then the dimension of the solution space of the homogeneous system Ax = 0 is 2.

Question 2 of 15 in the IIT Madras BS Mathematics for Data Science II (Maths 2) Quiz 2 paper sat on 20 Nov 2022, in the September 2022 term (IIT M FOUNDATION AN2 EXAM QPF1 20 Nov 2022). It carries 3 marks.

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