. In the problems below (just as in the lecture), the four subspaces associated to a matrix are the column space, the nullspace (or Kernel), the row space, and the left nullspace. Answer the following: (a) If a 3 × 4 matrix has rank 3, what are the dimensions of the four subspaces? (b) If a 7 × 9 matrix has rank 5, what are the dimensions of the four subspaces?

Step-by-step explanation:

. In the problems below (just as in the lecture), the four subspaces associated to a matrix are the column space, the nullspace (or Kernel), the row space, and the left nullspace. Answer the following: (a) If a 3 × 4 matrix has rank 3, what are the dimensions of the four subspaces? (b) If a 7 × 9 matrix has rank 5, what are the dimensions of the four subspaces?

can you add an image ?

step-by-step explanation:

$4034.40

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40