Problem #3: Let 101 15 1 a (a) Find a basis for the column space of A. (b) Find a basis for the nullspace of A. Problem #3(a): [Select 15 18 1 01 (A) {(1, 15, 1), (0, 15, 0), (1, 9, 0)) (B) {(1, 0, 0, 0), (0, 1, 0, 0), (0, 0, 1, 0), (0, 0, 0, 1); (C) {(1, 0, 0, 0), (0, 1, 0, 0)} (D) {(1, 15, 1), (0, 15, 0), (1,9, 0), (1, 1, 1)} (E) {(1, 15, 1), (0, 15, 0)) (F) {(0, 15, 0)} (G) {(1, 15, 1)} (H) {(1, 1, 1)} (A) {(-1, -, 1, 0), (-1, 1, 0, 1); Problem #3(b): Select (B) (-1,5, 0, 1)) (E) {(-1, -3, 1, 0), (-1, 1, 0, 1)} (F) {(-1, 1, 0, 1)} (C){(-1,-1,0), (-1, 1, 0, 1)} (D) {(-1, 1, 0, 1)} (G) {(-1, -3, 1, 0), (-1, 1, 0, 1)} (H) {(-1, 1, 0, 1);
Problem #3: Let 101 15 1 a (a) Find a basis for the column space of A. (b) Find a basis for the nullspace of A. Problem #3(a): [Select 15 18 1 01 (A) {(1, 15, 1), (0, 15, 0), (1, 9, 0)) (B) {(1, 0, 0, 0), (0, 1, 0, 0), (0, 0, 1, 0), (0, 0, 0, 1); (C) {(1, 0, 0, 0), (0, 1, 0, 0)} (D) {(1, 15, 1), (0, 15, 0), (1,9, 0), (1, 1, 1)} (E) {(1, 15, 1), (0, 15, 0)) (F) {(0, 15, 0)} (G) {(1, 15, 1)} (H) {(1, 1, 1)} (A) {(-1, -, 1, 0), (-1, 1, 0, 1); Problem #3(b): Select (B) (-1,5, 0, 1)) (E) {(-1, -3, 1, 0), (-1, 1, 0, 1)} (F) {(-1, 1, 0, 1)} (C){(-1,-1,0), (-1, 1, 0, 1)} (D) {(-1, 1, 0, 1)} (G) {(-1, -3, 1, 0), (-1, 1, 0, 1)} (H) {(-1, 1, 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
Transcribed Image Text:Problem #3: Let
A =
101 1
15 15 18 1
101 1
(a) Find a basis for the column space of 4.
(b) Find a basis for the nullspace of 4.
(A) {(1, 15, 1), (0, 15, 0), (1, 9, 0)) (B) {(1, 0, 0, 0), (0, 1, 0, 0), (0, 0, 1, 0), (0, 0, 0, 1))
(C) {(1, 0, 0, 0), (0, 1, 0, 0)) (D) {(1, 15, 1), (0, 15, 0), (1, 9, 0), (1, 1, 1)} (E) {(1, 15, 1), (0, 15, 0))
(F) {(0, 15, 0)} (G) {(1, 15, 1)}
(H) {(1, 1, 1)}
Problem #3(a): [Select v
(A) {(-1,-1, 1, 0), (-1, 1, 0, 1)}
(B) {(-1,1,0,1)} (C) {(-1,-1,0), (-1, 1, 0, 1)} (D) {(-1, 1, 0, 1)}
(E) {(-1,-1, 1, 0), (-1, 1, 0, 1)} (F) {(1, 1, 0, 1)} (G) {(-1, -, 1, 0), (-1, 1, 0, 1)} (H) {(1, 1, 0, 1)}
Problem #3(b): Select ✓
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