Find a basis for the two-dimensional subspace of R4 defined by Explain your reasoning. V := x= x1 2 € R¹ | x₁ + x3 = 0, and x₂ - 4 = 0 x1 X3 X4

Q: (a) {(a, b, c) ER³ | 2a = 3c}. (b) {(a, b, c) ER3 | a = 0, b = 3c}. (c) {(a+b, ab, 2a + b) | a, b R}…

A: (a), (b) , (c), (d)  are subspaces .

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Q: can a subspace of R^n have a dimension less than n.

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Q: a Let M = . -b a,b,c e R},N x, y e R} be two subspaces of M2x2. Find the basis for M, N and MON.

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