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Geometry of Linear Systems

  1. Jul 3, 2008 #1
    I am taking a Linear Algebra class to finish up my master's degree in math curriculum and instruction. I need some help.

    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!!!
     
  2. jcsd
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