Two vectors \([2 \, 1 \, 0 \, 3]^T\) and \([1 \, 0 \, 1 \, 2]^T\) belong to the null space of a \(4 \times 4\) matrix of rank 2. Which one of the following vectors also belongs to the null space?
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To determine if a vector belongs to the null space of a matrix, check if the vector can be expressed as a linear combination of the known vectors that already belong to the null space. Solve the system of equations formed by the vectors to find the coefficients.