Question

10

1 0 3 0 4 0 1 2 0 0 0 0 3 6 2 0 0 0 0 1 0 0 0 10

a) Find a basis and the dimension of the row space.

b) Find a basis and the dimension of the column space.

c) Find a basis and the dimension of the null space.

d) Verify the Dimension Theorem for A

e) Identify the Domain and Codomain if this is the standard matrix for a linear transformation

f) What does the row space represent when this is viewed as a linear transformation?

g) Does this represent a linear operator? Explain.