Which of the following are linear transformations? T:P2 P4 where T(p(x)) = x²p(x) S:M2x2 + M2x2 where S(A) = A? 2 -3 R:R2 → R? where R -> 1 4 y a. R only b. T only c. they are all linear transformations d. T and R only

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Which of the following are linear transformations?
T:P2 P4 where T(p(x)) = x²p(x)
S:M2x2 + M2x2 where S(A) = A?
2 -3
R:R2 → R? where R
->
1 4
y
a. R only
b. T only
c. they are all linear transformations
d. T and R only
Transcribed Image Text:Which of the following are linear transformations? T:P2 P4 where T(p(x)) = x²p(x) S:M2x2 + M2x2 where S(A) = A? 2 -3 R:R2 → R? where R -> 1 4 y a. R only b. T only c. they are all linear transformations d. T and R only
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