
Review Dimension of Col(A) and Nul(A) 1
... Example 13. Suppose A is a 5 × 5 matrix, and that v is a vector in R5 which is not a linear combination of the columns of A. What can you say about the number of solutions to Ax = 0? Solution. Stop reading, unless you have thought about the problem! Existence of such a v means that the 5 columns of ...
... Example 13. Suppose A is a 5 × 5 matrix, and that v is a vector in R5 which is not a linear combination of the columns of A. What can you say about the number of solutions to Ax = 0? Solution. Stop reading, unless you have thought about the problem! Existence of such a v means that the 5 columns of ...