The linear operator T : R³ → R³ is defined by T(x₁, x2, 3) = (W₁, W2, W3), where w₁ = 2x₁ + 4x2 + x3; = 9x2 + 2x3; W3 = 2x₁8x2 - 2x3. W2 = Which of the following is correct. (a) T is not one to one. (b) T is one to one but the standard matrix for T−¹ does not exist. 1 (c) T is one to one and its standard matrix for T-¹ is (d) T is one to one and its standard matrix for T-¹ is (e) None of these 3 0110 3 1 0 1 3 -4 1623

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