Which of the following maps is linear? O A. None of the given maps is linear. OB. L:R2- R2 defined by L(x,y)=(y,x +3) – 3(x, 1) · OC. K:R³→R³ defined by K (x,y.z)=(2x,2,3z)· O D. f:R3-R2 defined by f(x , y,z) = (3, x + y): OE. T:R?→ R? defined by T(x,y)=(x 2, x + y) ·

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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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 maps is linear?
O A. None of the given maps is linear.
OB.
L:R2- R2 defined by L(x,y) = (y, x +3) – 3(x, 1) ·
K:R³.
R3 defined by K ( x , y,z) = (2x , 2,3z)·
D. f:R3→ R2 defined by f ( x,y,z) = (3, x + y)·
OE.
defined by T(x, y) = ( x², x + y )·
T:R2-R2
Transcribed Image Text:Which of the following maps is linear? O A. None of the given maps is linear. OB. L:R2- R2 defined by L(x,y) = (y, x +3) – 3(x, 1) · K:R³. R3 defined by K ( x , y,z) = (2x , 2,3z)· D. f:R3→ R2 defined by f ( x,y,z) = (3, x + y)· OE. defined by T(x, y) = ( x², x + y )· T:R2-R2
The dimension of the subspace of p4 spanned by the set
is:
В 3D(1,—1,2, —3), (1,1,2,0), (3, — 1,6, — 6)}
O A.4
O B. 1
O.2
O D. 3
Transcribed Image Text:The dimension of the subspace of p4 spanned by the set is: В 3D(1,—1,2, —3), (1,1,2,0), (3, — 1,6, — 6)} O A.4 O B. 1 O.2 O D. 3
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