WeBWorK : f17dpavlovm × \'\\ e Advanced Math questio! X1 C webwork.math.ttu.edu/

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WeBWorK : f17dpavlovm × ' e Advanced Math questio! X1 C webwork.math.ttu.edu/webwork2H17dpavlovm2360s002/Hw6 1/12/?user-ekabana n&effectiveUser-ekabanan;&key;:us wlybRs41FfBMUdMhvj6Kqhde4pchh WeBWorK Logged in as ekabanan Log Out MATHEMATICAL ASSOCIATION OF AMERICA webwork f17dpavlovm2360s002 hws.1 12 MAIN MENU Courses Homework Sets HW6.1: Problem 12 HW6.1 Problem 12 User Settings PreviouS Problem List Next Grades (1 point) Which of the following transformations are linear? Select all of the linear transformations. There may be more than one correct answer. Be su Problems re you can justify your answers. A. T(A) A from Rt*° to R0X4 B. T(A) = det(A)Tom R6x6 to R Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7.. Problem 8... Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 from R to R2x2 D. T(A) = A + 1·from R14 to R4x4 9 -1_9A from Rx2 to R*2 4 8A from R24 10 R4 T(A)=1 9 7 Preview My Answers Submit Answers You have attempted this problem 2 times. Your overall recorded score is 0%. You have unlimited attempts remaining. 06 PM ^4) 11/6/2017 Type here to search

Explanation / Answer

A. yes

T(A+B)=(A+B)^T=A^T+B^T=T(A)+T(B)

B. No.

Let, A be matrix with non zero determinant

T(2A)=det(2A)=2^6 det(A)

Hence not closed under scalar multiplication

C. Yes

Denote coefficient matrix by M

T(A+B)=(A+B)M=AM+BM=T(A)+T(B)

D.No

T(A+B)=A+B+I4

T(A)+T(B)=A+I+B+I=A+B+2I

Hence not clsoed under scalar multiplication

E. Yes

Same as in C

F. Yes

Same as in C

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