Question

assume the following is true, [6,-1]top [4,3]bottom. create two matrixes (a and b) so a+2b=c is true.

Answer 1

.1.2) Which of the following subsets of R3 are actually subspaces?

a) The plane of vectors with the first component b1 = 0.

b) The plane with vectors b with b1 = 1.

c) The vectors b with b1b2 = 0.

d) The solitary vector b = (0, 0, 0).

e) All combinations of two given vectors x = (1, 1, 0) and y = (2, 0, 1).

2. (2.1.4) What is the smallest subspace of 3 x 3 matrices which contain all symmetric matrices and all lower triangular matrices? What is the largest subspace which is contained in both of these subspaces?

3. (2.1.7) Which of the following are subspaces of Rµ?