I am taking a Linear Algebra class to finish up my master's degree in math curriculum and instruction. I need some help.(adsbygoogle = window.adsbygoogle || []).push({});

True/False

1. If Ax=b has infinitely many solutions, then so does Ax=0.

2. If Ax=b is inconsistent, then Ax=0 has only the trivial solution.

3. The fewest number of hyperplanes in R^4 that can intersect in a single pt is 4.

4. If W is any plane in R^3, there is a linear system in three unknowns whose solution set is that plane.

5. If Ax=b is consistent, then every vector in the solution set is orthogonal to every row vector of A.

I really hope that someone can help me!!!

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# Geometry of Linear Systems

Can you offer guidance or do you also need help?

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