E Let [1 0 1. 1 A = 11 11 14 1 1 0 1 (a) Find a basis for the column space of A. (b) Find a basis for the nullspace of A. (A) {(1, 1, 1)} (B) {(1, 11, 1). (0, 11, 0). (1, 5. 0)} (C) {(1. 0, 0, 0), (0. 1, 0. 0). (0, 0. 1, 0). (0, 0, 0, 1)} (D) {(1, 11, 1), (0, 11, 0)} (E) {(1, 11, 1)} (F) {(1. 11, 1). (0. 11. 0). (1. 5. 0). (1, 1, 1)} (G) {(0, 11, 0)} (H) {(1, 0, 0, 0). (0, 1, 0, 0)} #(a): (A) (-1, 유 0. 1)) (B) {(-1. -유 1,0), (-1.유 0. 1)) (C) (-1.-유 1, 0). (-1. 용 0. 1)) (D) ((-1. 유 0. 1)) (E) {(-1.-유 1.0). (-1. 유 0. 1)) (F) {(-1. 플 0. 1)} (G) {(-1.급 1.0), (-1. 플, 0. 1)} (H) ((-1. 등 0. 1) (b):

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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E Let
[1 0
1.
1
A =
11
11
14
1
1 0
1
(a) Find a basis for the column space of A.
(b) Find a basis for the nullspace of A.
(A) {(1, 1, 1)} (B) {(1, 11, 1). (0, 11, 0). (1, 5. 0)} (C) {(1. 0, 0, 0), (0. 1, 0. 0). (0, 0. 1, 0). (0, 0, 0, 1)}
(D) {(1, 11, 1). (0, 11, 0)} (E) {(1, 11, 1)} (F) {(1. 11, 1). (0. 11. 0). (1. 5. 0). (1, 1, 1)} (G) {(0, 11, 0)}
(H) {(1, 0, 0, 0). (0, 1, 0, 0)}
국(a):
(A) (-1, 유0. 1)) (B) {(-1. -유 1,0), (-1.유 0. 1)) (C) (-1.-유 1,0), (-1. 용 0, 1)) (D) ((-1. 유 0. 1))
(E) {(-1.-유 1.0). (-1. 유 0. 1)) (F) {(-1. 블 0. 1)} (G) {(-1. 1.0). (-1. 블, 0. 1)} (H) (-1. 0 0. 1)}
(b):
Transcribed Image Text:E Let [1 0 1. 1 A = 11 11 14 1 1 0 1 (a) Find a basis for the column space of A. (b) Find a basis for the nullspace of A. (A) {(1, 1, 1)} (B) {(1, 11, 1). (0, 11, 0). (1, 5. 0)} (C) {(1. 0, 0, 0), (0. 1, 0. 0). (0, 0. 1, 0). (0, 0, 0, 1)} (D) {(1, 11, 1). (0, 11, 0)} (E) {(1, 11, 1)} (F) {(1. 11, 1). (0. 11. 0). (1. 5. 0). (1, 1, 1)} (G) {(0, 11, 0)} (H) {(1, 0, 0, 0). (0, 1, 0, 0)} 국(a): (A) (-1, 유0. 1)) (B) {(-1. -유 1,0), (-1.유 0. 1)) (C) (-1.-유 1,0), (-1. 용 0, 1)) (D) ((-1. 유 0. 1)) (E) {(-1.-유 1.0). (-1. 유 0. 1)) (F) {(-1. 블 0. 1)} (G) {(-1. 1.0). (-1. 블, 0. 1)} (H) (-1. 0 0. 1)} (b):
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