Olga J.

asked • 12/28/12

Linear Algebra

. Indicate whether the statement is true or false. Justify your answer.
(a) If Ax=b has infinitely many solutions, then so does Ax=0

(b) If Ax=b is inconsistent, then Ax=0 has only the trivial solution
(c) The fewest number of hyperplanes in R4 that can intersect in a single point is four
(d) If W is any plane in R3, there is a linear system in three unknowns whose solution set is that plane.
(e) If Ax=b is consistent, then every vector in the solution set is orthogonal to every row vector of A.

1 Expert Answer


Matthias H. answered • 12/29/12

4.8 (136)

Math and Statistics Tutor

Olga J.

(c) a linear system is consistent if and only if b is in the column space of A ? I am not sure:( 



Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.


Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.