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(17) The set (-2,0,0,0), (0,0, 1,1) is a basis for the range of the linear trans

ID: 3033652 • Letter: #

Question

(17) The set (-2,0,0,0), (0,0, 1,1) is a basis for the range of the linear trans- formation T R3 R4 defined by T (a,y, z) (a ,0,y z, y z) (18) The vector (0,0, 1) spans the kernel of the linear transformation T R3 R4 given by T(r1, 32, T3 a 1,0, T2, z2). (19) The function from R3 to itself that interchanges the first and third coordi nates is a linear transformation. (20) There is a linear transformation T R3 R3 whose range is the set of solutions to the equation 2. (21) There is a linear transformation T R R whose range is the set of solutions to the equation z y 2. (22) The linear transformation T y T is one-to-one (23) The linear transformation in question 22 is onto. (24) If T is the linear transformation in question 22, then T2 T-1. (25) 1 is an eigenvalue of the linear transformation in question 22 (26) dim(E1) for the linear transformation in question 22.

Explanation / Answer

17. The statement is True.

18. The statement is True.

19. The statement is True.

20. The statement is False.

21. The statement is True.

22. The statement is True.

Please post the remaining questions again.