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In the vector space P, of polynomials of degree at most two, the coordinates of the vector p(x) =4+3x+ 5x² are: in the basis =1+ 2x, ¢,=x- 3x², e =1+x?} B = A. (0, – 3,1)· B. (-1,2,2)· C. (2, – 1,2): D. (1,0,1): E. (4,3,5):

In the vector space P, of polynomials of degree at most two, the coordinates of the vector p(x) =4+3x+ 5x² are: in the basis =1+ 2x, ¢,=x- 3x², e =1+x?} B = A. (0, – 3,1)· B. (-1,2,2)· C. (2, – 1,2): D. (1,0,1): E. (4,3,5):

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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< Question 21 of 46 > » A Moving to another question will save this response. Save Answer Question 21 In the vector space P, of polynomials of degree at most two, the coordinates of the vector p(x) =4+3x+ 5x² in the basis B = {e, =1+ 2x, e,=x= 3x2, e,=1+x*} are: A. (0, – 3,1)· B. (-1,2,2)· C. (2, – 1,2)· D. (1,0,1)· E. (4,3,5)·
Transcribed Image Text:< Question 21 of 46 > » A Moving to another question will save this response. Save Answer Question 21 In the vector space P, of polynomials of degree at most two, the coordinates of the vector p(x) =4+3x+ 5x² in the basis B = {e, =1+ 2x, e,=x= 3x2, e,=1+x*} are: A. (0, – 3,1)· B. (-1,2,2)· C. (2, – 1,2)· D. (1,0,1)· E. (4,3,5)·
A Moving to another question will save this response. Question 19 of 46 > » Question 19 Save Answer Which of the following maps is not linear? А. f:R³→R² defined by f(x,y,z)=(z,x+y)· В. K:R³→R3 defined by K (x,y.z)=(2x,0,3z)· C. L:R2→ R³ defined by L(x,y)=(x+y,y,x)· D. T:R2→R? defined by T(x,y)=(x²,x+y)*
Transcribed Image Text:A Moving to another question will save this response. Question 19 of 46 > » Question 19 Save Answer Which of the following maps is not linear? А. f:R³→R² defined by f(x,y,z)=(z,x+y)· В. K:R³→R3 defined by K (x,y.z)=(2x,0,3z)· C. L:R2→ R³ defined by L(x,y)=(x+y,y,x)· D. T:R2→R? defined by T(x,y)=(x²,x+y)*
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