Suppose that {X, Y, Z, W) is a basis of R4. Show-that: (a) [X + aW, Y,
Question:
(a) [X + aW, Y, Z, W) is also a basis of R4 for any choice of the scalar a.
(b) {X+ W, Y+ W, Z + IV, W] is also a basis of R4.
(c) {X, X+ Y, X+ Y+ Z, X+Y+Z+ W] is also a basis of R4.
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