Q21Comprehension3 Marks24 Dec 2023PassageConsider the subspace W = { (x,y,z,w)(x, y, z, w)(x,y,z,w) | x + z = -y, y + w = -z - x } of R4\mathbb{R}^4R4. Based on the above data, answer the given subquestions.Which of the following are bases for WAβ\betaβ = {(-1, -1, 0, 2)}Bβ\betaβ = {(-1, -1, 0, 2), (0, 1, 1, 0)}Cβ\betaβ = {(1, 1, 0, -2), (1, 0, -1, -2)}Dβ\betaβ = {(1, 1, 0, -2), (0,1,1,0)(0, 1, 1, 0)(0,1,1,0), (2, 1, -1, -4)}Eβ\betaβ = {(1, 1, 0, 2), (2,1,1,4)(2, 1, 1, 4)(2,1,1,4), (0, 1, 1, 0)}
