Find a basis for the subspace of R4 consisting of all vectors of the form (a,...

 

Transcribed Image Text:

Find a basis for the subspace of R4 consisting of all vectors of the form (a, b, c, d) where c = a + 5b and d = a - 7b. (A) {(1, 0, 5, 1), (1, 0, 1, -7) (B) {(1, 0, 1, 1), (0, 1, 5, -7) (D) {(0, 1, 5, 1), (0, 1, 1, -7)} (G) {(1, 1, 0, 1), (1, 0, 5, -7) (E) {(0, 1, 5, 1), (1, 1, 0, -7)} (H) {(1, 0, 5, 1), (0, 1, 1, -7)} (C) {(1, 1, 0, 1), (0, 1, 5, -7)} (F) {(1, 0, 1, 1), (1, 0, 5, -7)} Find a basis for the subspace of R4 consisting of all vectors of the form (a, b, c, d) where c = a + 5b and d = a - 7b. (A) {(1, 0, 5, 1), (1, 0, 1, -7) (B) {(1, 0, 1, 1), (0, 1, 5, -7) (D) {(0, 1, 5, 1), (0, 1, 1, -7)} (G) {(1, 1, 0, 1), (1, 0, 5, -7) (E) {(0, 1, 5, 1), (1, 1, 0, -7)} (H) {(1, 0, 5, 1), (0, 1, 1, -7)} (C) {(1, 1, 0, 1), (0, 1, 5, -7)} (F) {(1, 0, 1, 1), (1, 0, 5, -7)}

Answer rating: 100% (QA)

To find a basis for the subspace of R4 defined by the equations c a 5b and d a 7b ... View the full answer