Solution Found!
Determine which of the following sets are bases for P2(R). (a) {-l- x + 2x2 ,2 + x-2x 2
Chapter 1, Problem 2(choose chapter or problem)
Determine which of the following sets are bases for P2(R). (a) {-l- x + 2x2 ,2 + x-2x 2 ,l-2x4-4x 2 } ( b ) {14-2X4-X 2 , 3 4-X 2 ,X4-X 2 } (c) {1 - 2x - 2x2 , - 2 4- 3x - x 2 ,1 - x 4- 6x2 } (d) {- 1 4- 2x 4- 4x2 ,3 - 4x - 10x2 , - 2 - 5x - 6x2 } (e) {1 4- 2x - x 2 ,4 - 2x 4- x 2 , - 1 4- 18x - 9x2 }
Questions & Answers
QUESTION:
Determine which of the following sets are bases for P2(R). (a) {-l- x + 2x2 ,2 + x-2x 2 ,l-2x4-4x 2 } ( b ) {14-2X4-X 2 , 3 4-X 2 ,X4-X 2 } (c) {1 - 2x - 2x2 , - 2 4- 3x - x 2 ,1 - x 4- 6x2 } (d) {- 1 4- 2x 4- 4x2 ,3 - 4x - 10x2 , - 2 - 5x - 6x2 } (e) {1 4- 2x - x 2 ,4 - 2x 4- x 2 , - 1 4- 18x - 9x2 }
ANSWER:Step 1 of 6
a)
Now, for some constants a,b and c.If these constants are all zero, then the set is linearly independent.