Let A be the matrix below, and find the indicated sets with the requested properties.

1. A linearly independent set S so that C(A) = (S) and S is composed of columns of A.
2. A linearly independent set S so that C(A) = (S) and the vectors in S have a nice pattern of zeros and ones at the top of the vectors.
3. A linearly independent set S so that C(A) = (S) and the vectors in S have a nice pattern of zeros and ones at the bottom of the vectors.
4. A linearly independent set S so that R(A) = (S).

Transcribed Image Text:

25 A-5 3 -12 7 1 43