Question:
Which of the following is/are linear transformations ?
Which of the following is/are linear transformations ?
Updated On: Oct 1, 2024
- T : \(\R → \R\) given by T(x) = sin(x)
- T : \(M_2(\R) → \R\) given by T(A) = trace(A)
- T : \(\R^2 → \R\) given by T (x, y) = x + y + 1
- T : \(P_2(\R) → \R\) given by T(p(x)) = p(1)
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The Correct Option is B, D
Solution and Explanation
The correct option is (B) : T : \(M_2(\R) → \R\) given by T(A) = trace(A) and (D) : T : \(P_2(\R) → \R\) given by T(p(x)) = p(1).
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