Let A be a 4×3 non-zero matrix and let b be a 4×1 column vector. Then Ax = b has

GATE · 2020 · XE · XE-A — Engineering Mathematics

Let A be a 4×3 non-zero matrix and let b be a 4×1 column vector. Then Ax = b has

  1. A.

    a solution for every b.

  2. B.

    no solution for some b.

  3. C.

    a solution only when b = 0.

  4. D.

    a solution if b and the columns of A form a linearly independent set.

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