Find a basis for the subspace of R* consisting of all vectors of the form (a, b, c, d) where c = a + 3b and d = a- 5b. ) {(1, 0, 1, 1). (0, 1, 3. –5)} (B) {(0, 1, 3, 1). (1, 1, 0, -5)} (C) {(0, 1, 3, 1). (0, 1, 1, –5)} ) {(1, 0, 3, 1). (1, 0, 1, –5)} (E) {(1, 0, 1, 1). (1, 0, 3, -5)} (F) {(1, 1, 0, 1),. (1, 0, 3, –5)} ) {(1 0 3 1) (0 1 1 -5)} (HD {(1 1 0 1) (0 1 3 -5)}

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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: Find a basis for the subspace of R* consisting of all vectors of the form (a, b, c, d) where c = a + 36 and
d = a- 56.
A) {(1, 0, 1, 1), (0, 1, 3, -5)} (B) {(0, 1, 3, 1), (1, 1, 0, -5)} (C) {(0, 1, 3, 1), (0, 1, 1, -5)}
D) {(1, 0, 3, 1). (1, 0, 1, -5)} (E) {(1, 0, 1, 1). (1, 0, 3, -5)} (F) {(1, 1, 0, 1), (1, 0, 3, -5)}
G) {(1, 0, 3, 1), (0, 1, 1, -5)} (H) {(1, 1, 0, 1), (0, 1, 3, -5)}
Transcribed Image Text:: Find a basis for the subspace of R* consisting of all vectors of the form (a, b, c, d) where c = a + 36 and d = a- 56. A) {(1, 0, 1, 1), (0, 1, 3, -5)} (B) {(0, 1, 3, 1), (1, 1, 0, -5)} (C) {(0, 1, 3, 1), (0, 1, 1, -5)} D) {(1, 0, 3, 1). (1, 0, 1, -5)} (E) {(1, 0, 1, 1). (1, 0, 3, -5)} (F) {(1, 1, 0, 1), (1, 0, 3, -5)} G) {(1, 0, 3, 1), (0, 1, 1, -5)} (H) {(1, 1, 0, 1), (0, 1, 3, -5)}
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