Homework SourseLet A 1 2 3 4 5 7 5 1 0 2 7 11 Find integer n such that Nul
Let A= [1 2 3 4 5 7 -5 -1 0 2 7 11]. Find integer n such that Nul A is a subspace of R^n. Find integer m such that Col A is a subspace of R^m. For A as in Problem 2, find a nonzero vector in Nul A and a nonzero vector in Col A.![Let A= [1 2 3 4 5 7 -5 -1 0 2 7 11]. Find integer n such that Nul A is a subspace of R^n. Find integer m such that Col A is a subspace of R^m. For A as in Prob](/WebImages/3/let-a-1-2-3-4-5-7-5-1-0-2-7-11-find-integer-n-such-that-nul-968746-1761499258-0.webp "Let A= [1 2 3 4 5 7 -5 -1 0 2 7 11]. Find integer n such that Nul A is a subspace of R^n. Find integer m such that Col A is a subspace of R^m. For A as in Prob")
Solution
The matrix A is 4*3.
Therefore Nul A is a subspace of R^3 because A has 3 columns, so there would be 3 variables in the system
Ax=0 and the solution vector x would have 3 entries.
And Col A is a subspace of R^4 because each of the columns in A have 4 entries (since A has 4 rows) so each column vector in A is in R^4.
