Linear Algebra

True/False question

Suppose that A is a 2 x 3 matrix such that A[1, 1, 1]^t = [2, 3]^t = A[2, 3, 4]^t. Then [1, 2, 3]^t belongs to the nullspace of A.

I have no idea how to start this question/what it means.

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  1. First, be sure you understand a matrix null space. Google is your friend.

    Te null space is all vectors x such that

    xA = 0

    I'm having a hard time understanding

    A[1, 1, 1]^t = [2, 3]^t = A[2, 3, 4]^t

    How can they all be equal?

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