Find a basis for the subspace of R* consisting of all vectors of the form (a, b, c, d) where c = a + 7b and d = a – 6b. (A) {(1, 0, 1, 1), (0, 1, 7, —6); (В) {(0, 1, 7, 1), (0, 1, 1, -6); (С) {(1, 1, 0, 1), (1, 0, 7, -6)}; D) {(0, 1, 7, 1), (1, 1, 0, –6)} (E) {(1, 0, 7, 1), (0, 1, 1, –6)} (F) {(1, 1, 0, 1), (0, 1, 7, -6)} (G) {(1, 0, 1, 1), (1, 0, 7, –6)} (H) {(1,0, 7, 1), (1, 0, 1, –6)}

Find a basis for the subspace of R* consisting of all vectors of the form (a, b, c, d) where c = a + 7b and d = a – 6b. (A) {(1, 0, 1, 1), (0, 1, 7, —6); (В) {(0, 1, 7, 1), (0, 1, 1, -6); (С) {(1, 1, 0, 1), (1, 0, 7, -6)}; D) {(0, 1, 7, 1), (1, 1, 0, –6)} (E) {(1, 0, 7, 1), (0, 1, 1, –6)} (F) {(1, 1, 0, 1), (0, 1, 7, -6)} (G) {(1, 0, 1, 1), (1, 0, 7, –6)} (H) {(1,0, 7, 1), (1, 0, 1, –6)}

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.5: Basis And Dimension

Problem 69E: Find a basis for R2 that includes the vector (2,2).

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