I\'ve tried this T/F problem but at least one of them is wrong, can anyone see w

Question

I've tried this T/F problem but at least one of them is wrong, can anyone see which one?

Some more true/false statements, mostly but not exclusively, going with section 3.4. Keep in mind that unless otherwise stated, the matrix A may not be square. Enter T or F as appropriate. The general solution of the linear system Ax = b is any particular solution at all, plus a vector in the null space of A. The linear system Ax = b has a solution for all vectors b if the null space of A contains only the zero vector. The square linear system Ax = b has a solution for all vectors b if the null space of A contains only the zero vector. The linear system Ax = b has a solution if and only if b 1S b in the nullspace of A. If A is a 3 times 2 matrix and AT A = I then AAT = I If A is a square matrix and ATA = I then AAT = I. The n times n system Ax = 0 has a non-trivial solution if the rank of A is less than n. The n times n system Ax = 0 has only the trivial solution if the rank of A equals n. Note: In order to get credit for this problem all answers must be correct.

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4th

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