Question:
Linear Algebra Problems
1) How would you find a basis of the kernel, a basis of the image and determine the dimension of each for this matrix? The matrix given below.
1 2 1 2 1
1 2 2 1 2
2 4 3 3 3
0 0 1 -1 -1
2) Are the following 3 vectors linearly dependent? (see attachment for the three vectors) How can you decide?
1 1 1
1 2 4
1 3 7
1 4 10