Mathematics, 05.05.2020 23:09 teyante7301

Find an example of 4 linearly independent vectors a₁, a₂, a₃, a₄ ∈ R 4 such that the linear transformation T : R 4 → R 4 , T(x) = x₁a₁ + x₂a₂ + x₃a₃ + x₄a₄ is not onto, OR explain why this is not possible. If you provide an example, your answer should include an explanation of why those vectors have the desired properties.

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Find an example of 4 linearly independent vectors a₁, a₂, a₃, a₄ ∈ R 4 such that the linear transfor...