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Find Bases for the Four Fundamental Subspaces of the Matrix

Question 1

Multiple Choice

Find bases for the four fundamental subspaces of the matrix Find bases for the four fundamental subspaces of the matrix . A) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: B) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: C) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: D) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: E) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: .


A) N(A) -basis: Find bases for the four fundamental subspaces of the matrix . A) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: B) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: C) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: D) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: E) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: , N(AT) -basis: Find bases for the four fundamental subspaces of the matrix . A) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: B) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: C) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: D) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: E) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: , R(A) -basis: Find bases for the four fundamental subspaces of the matrix . A) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: B) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: C) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: D) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: E) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: , and R(AT) -basis: Find bases for the four fundamental subspaces of the matrix . A) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: B) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: C) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: D) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: E) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis:
B) N(A) -basis: Find bases for the four fundamental subspaces of the matrix . A) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: B) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: C) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: D) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: E) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: , N(AT) -basis: Find bases for the four fundamental subspaces of the matrix . A) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: B) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: C) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: D) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: E) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: , R(A) -basis: Find bases for the four fundamental subspaces of the matrix . A) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: B) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: C) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: D) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: E) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: , and R(AT) -basis: Find bases for the four fundamental subspaces of the matrix . A) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: B) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: C) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: D) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: E) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis:
C) N(A) -basis: Find bases for the four fundamental subspaces of the matrix . A) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: B) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: C) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: D) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: E) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: , N(AT) -basis: Find bases for the four fundamental subspaces of the matrix . A) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: B) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: C) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: D) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: E) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: , R(A) -basis: Find bases for the four fundamental subspaces of the matrix . A) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: B) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: C) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: D) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: E) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: , and R(AT) -basis: Find bases for the four fundamental subspaces of the matrix . A) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: B) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: C) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: D) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: E) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis:
D) N(A) -basis: Find bases for the four fundamental subspaces of the matrix . A) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: B) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: C) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: D) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: E) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: , N(AT) -basis: Find bases for the four fundamental subspaces of the matrix . A) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: B) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: C) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: D) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: E) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: , R(A) -basis: Find bases for the four fundamental subspaces of the matrix . A) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: B) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: C) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: D) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: E) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: , and R(AT) -basis: Find bases for the four fundamental subspaces of the matrix . A) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: B) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: C) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: D) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: E) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis:
E) N(A) -basis: Find bases for the four fundamental subspaces of the matrix . A) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: B) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: C) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: D) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: E) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: , N(AT) -basis: Find bases for the four fundamental subspaces of the matrix . A) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: B) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: C) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: D) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: E) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: , R(A) -basis: Find bases for the four fundamental subspaces of the matrix . A) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: B) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: C) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: D) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: E) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: , and R(AT) -basis: Find bases for the four fundamental subspaces of the matrix . A) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: B) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: C) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: D) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis: E) N(A) -basis: , N(A<sup>T</sup>) -basis: , R(A) -basis: , and R(A<sup>T</sup>) -basis:

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