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 correctinformation?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} .

The given linear transformation: S: M2,3→M3,2 defined by SA=AT.

Answered: Let S: M2,3 M3,2 be defined by S(A) =…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Which of the following transformations are linear? Select all of the linear transformations. There may be more than one correct answer. Be sure you can justify your answers. A. T(A) = det(A) from R5x5 to R B. T(A) = trace(A) from R6x6 to R 1 C. T(A) = D. T(A) = AT from R3x5 to R5x3 E. T(A) = A7 from R 4x4 to R4x4 F. T(A) = 6A from R4x5 4x5 to R4 2₁ A from R2x3 to R2x3
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Which of the following transformations are linear? Select all of the linear transformations. There may be more than one correct answer. Be su you can justify your answers. A. T(A) det(A) from R³x³ to R B. T(A) 1A from R4x3 to R4x3 OC. T(A) = AT from R5x3 to R³x5 1 D. T(A) = A 1 from IR to R2x2 6 8 JE. T(A)= A2 from R4x4 to R4x4 6 5 R.T(A)=[74 -97 A from R2x5 to R2x5
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Let T: R³ R³ be a linear transformation such that →>> T(#1, #2, 3) = (x1 − 2x₂ + 3x3, −æ₁ + 3x2 - 4x3,2x1 – 9x2 + 5x3). Determine if the linear transformation is one-one, onto or both. Justify your answer. Upload Choose a File Next No new data to save. Last checked at 10:33pm Submit < Previous
Which of the following transformations are linear? Select all of the linear transformations. There may be more than one correct answer. Be sure you can justify your answers. A. T(A) = trace(A) from R³x3 to R OB. T(A) AT from R4x5 to R5x4 0 2 C. T(A) = A [²3] A from R2x2 to R²x2 8 6 OD. T(A) A7 from R6x6 E. T(A) = SAS-1 from R2x2 to R2x2, where S = OF. T(A) det (A) from R5x5 to R to R6x6 -7

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