The linear transformation S: R3 → R4 has the property that S(1, 0, 0) = (2, 3, 5, −2) S(0, 1, 0) =(−4, 6, 7, −3) S(0, 0, 1) = (5, −2, 3, 4). Determine the value of S(x, y, z). Please provide details

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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The linear transformation S: R3 → R4 has the property that

S(1, 0, 0) = (2, 3, 5, −2)

S(0, 1, 0) =(−4, 6, 7, −3)

S(0, 0, 1) = (5, −2, 3, 4).

Determine the value of S(x, y, z).

Please provide details

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