Problem #6: Let Problem #6(a): A = 8 0 8 3 1001 (a) Find a basis for the column space of A. (b) Find a basis for the nullspace of A. (A) {(1, 8, 1)} (B) {(1, 8, 1), (0, 8, 0)} (C) {(1, 0, 0, 0), (0, 1, 0, 0)} (D) {(0, 8, 0)} (E) {(1, 8, 1), (0, 8, 0), (1, 3, 0)} (F) {(1, 0, 0, 0), (0, 1, 0, 0), (0, 0, 1, 0), (0, 0, 0, 1)} (G) {(1, 1, 1)} (H) {(1, 8, 1), (0, 8, 0), (1, 3, 0), (1, 1, 1)} Select 1 Problem #6(b): Select (A) {(-1, -3, 1, 0), (-1, §, 0, 1)} (B) {(-1, -, 1, 0), (-1, 3.0, 1)} (C) {(-1, 3.0, 1)} (D) {(-1, 2, 0, 1)} (E) {(-1, -½, 1, 0), (-1, ¾, 0, 1)} (F) {(-1,-1, 1, 0), (-1, 2, 0, 1)} (G) {(-1,3, 0, 1)} (H) {(−1, ¾, 0, 1)}
Problem #6: Let Problem #6(a): A = 8 0 8 3 1001 (a) Find a basis for the column space of A. (b) Find a basis for the nullspace of A. (A) {(1, 8, 1)} (B) {(1, 8, 1), (0, 8, 0)} (C) {(1, 0, 0, 0), (0, 1, 0, 0)} (D) {(0, 8, 0)} (E) {(1, 8, 1), (0, 8, 0), (1, 3, 0)} (F) {(1, 0, 0, 0), (0, 1, 0, 0), (0, 0, 1, 0), (0, 0, 0, 1)} (G) {(1, 1, 1)} (H) {(1, 8, 1), (0, 8, 0), (1, 3, 0), (1, 1, 1)} Select 1 Problem #6(b): Select (A) {(-1, -3, 1, 0), (-1, §, 0, 1)} (B) {(-1, -, 1, 0), (-1, 3.0, 1)} (C) {(-1, 3.0, 1)} (D) {(-1, 2, 0, 1)} (E) {(-1, -½, 1, 0), (-1, ¾, 0, 1)} (F) {(-1,-1, 1, 0), (-1, 2, 0, 1)} (G) {(-1,3, 0, 1)} (H) {(−1, ¾, 0, 1)}
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
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Transcribed Image Text:Problem #6: Let
Problem #6(a):
A =
(A) {(1, 8, 1)} (B) {(1, 8, 1), (0, 8, 0)} (C) {(1, 0, 0, 0), (0, 1, 0, 0)} (D) {(0, 8, 0)}
(E) {(1, 8, 1), (0, 8, 0), (1, 3,0)} (F) {(1, 0, 0, 0). (0, 1, 0, 0), (0, 0, 1.0), (0, 0, 0, 1)} (G) {(1, 1, 1)}
(H) {(1, 8, 1), (0, 8, 0), (1, 3, 0), (1, 1, 1)}
Problem #6(b):
1 0
8 8
1
0
(a) Find a basis for the column space of A.
(b) Find a basis for the nullspace of A.
Select
3
0 1
(A) {(−1, —½', 1, 0), (−1, §. 0, 1)}
Select
(E) {(-1, -½, 1, 0), (-1, ¾, 0, 1)} (F) {(-1, -½, 1, 0). (-1. §. 0, 1)}
(B) {(-1, —§, 1, 0), (-−1, §. 0, 1)}
(C) {(−1, §, 0, 1)}
(D) {(−1, §, 0, 1)}
(G) {(-1. §. 0, 1)} (H) {(−1, ¾, 0, 1)}
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