Let S: M2,3 M3,2 be defined by S(A) = A. Assume that S is a linear transformation. Let Ker (S) denote the kernel of S and Ran (S) the range. Which one of the following gives the correct information? O A. Ker (S) = (0) en Ran (S) = M₂,3- OB. None of the other options. OC. Ker (S) = M2,3 en Ran (S) = {0}. D. Ker (S) = (0) en Ran (S) = M3,2- OE. Ker (S) = M3,2 en Ran (S) = {0}.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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AT. Assume that S is a linear transformation. Let Ker (S)
Let S: M2,3 M3,2 be defined by S(A) =
denote the kernel of S and Ran (S) the range. Which one of the following gives the correct
information?
A. Ker (S) = (0) en Ran (S) = M₂,3.
B. None of the other options.
O C. Ker (S) = M2,3 en Ran (S) = (0).
D. Ker (S) = {0} en Ran (S) = M3,2.
OE. Ker (S) = M3,2 en Ran (S) = {0} .
Transcribed Image Text:AT. Assume that S is a linear transformation. Let Ker (S) Let S: M2,3 M3,2 be defined by S(A) = denote the kernel of S and Ran (S) the range. Which one of the following gives the correct information? A. Ker (S) = (0) en Ran (S) = M₂,3. B. None of the other options. O C. Ker (S) = M2,3 en Ran (S) = (0). D. Ker (S) = {0} en Ran (S) = M3,2. OE. Ker (S) = M3,2 en Ran (S) = {0} .
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