Let 101 A = 12 12 15 1 1 0 1 1 (a) Find a basis for the column space of A. (b) Find a basis for the nullspace of A. (A) {(1, 12, 1), (0, 12, 0), (1, 9, 0)} (B) {(1, 0, 0, 0), (0, 1, 0, 0), (0, 0, 1, 0), (0, 0, 0, 1)} (C) {(1, 12, 1), (0, 12, 0), (1, 9, 0), (1, 1, 1)} (D) {(1, 12, 1)} (E) {(1, 1, 1)} (F) {(1, 0, 0, 0), (0, 1, 0, 0)} (G) {(1, 12, 1), (0, 12, 0)} (H) {(0, 12, 0)}

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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Let
01
A = 12
12
15 1
1
0 1
1
(a) Find a basis for the column space of A.
(b) Find a basis for the nullspace of A.
(A) {(1, 12, 1), (0, 12, 0), (1, 9, 0)} (B) {(1, 0, 0, 0), (0, 1, 0, 0), (0, 0, 1, 0), (0, 0, 0, 1)}
(C) {(1, 12, 1), (0, 12, 0), (1, 9, 0), (1, 1, 1)} (D) {(1, 12, 1)} (E) {(1, 1, 1)} (F) {(1, 0, 0, 0), (0, 1, 0, 0)}
(G) {(1, 12, 1), (0, 12, 0)} (H) {(0, 12, 0)}
Transcribed Image Text:Let 01 A = 12 12 15 1 1 0 1 1 (a) Find a basis for the column space of A. (b) Find a basis for the nullspace of A. (A) {(1, 12, 1), (0, 12, 0), (1, 9, 0)} (B) {(1, 0, 0, 0), (0, 1, 0, 0), (0, 0, 1, 0), (0, 0, 0, 1)} (C) {(1, 12, 1), (0, 12, 0), (1, 9, 0), (1, 1, 1)} (D) {(1, 12, 1)} (E) {(1, 1, 1)} (F) {(1, 0, 0, 0), (0, 1, 0, 0)} (G) {(1, 12, 1), (0, 12, 0)} (H) {(0, 12, 0)}
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