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Mathematics for Data Science II · Quiz 1 · 19 Jul 2026 · May 2026 term

Question 11: Let denotes the column space of . Choose the correct opt…

Question 11

+5 marksOne or more correct options

Let be a coefficient matrix, and be a column matrix to a system of linear equations with variables, , given by where . Use this information to answer the given subquestions.

Let denotes the column space of . Choose the correct options.

Select all that apply.

  1. A

    If , then there exists vector satisfying .

  2. B

    If , then there exists a unique vector satisfying .

  3. C

    If there exists a vector satisfying the , then .

  4. D

    If , then the system of linear equations is consistent.

  5. E

    If , then the system of linear equations is inconsistent.

Show answer

Correct answers

  • A

    If , then there exists vector satisfying .

  • C

    If there exists a vector satisfying the , then .

  • D

    If , then the system of linear equations is consistent.

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Question 11 of 14 in the IIT Madras BS Mathematics for Data Science II (Maths 2) Quiz 1 paper sat on 19 Jul 2026, in the May 2026 term (Maths2 16 Jul 26). It carries 5 marks.

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