math3c-01-W08-4..

# math3c-01-W08-4.. - Sample WeBWorK problems. 1.(1 pt) V=R2...

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WW Prob Lib1 Sample WeBWorK problems. WeBWorK assignment DELA 3 6 due 2/21/08 at 11:59 PM. 1. (1 pt) V= R 2 S= { ( 0 , 0 ) , ( - 7 , 5 ) } Do the vectors in the set S span the vector space V? A. Yes B. No 2. (1 pt) V= R 3 S= { ( 1 , 0 , 0 ) , ( 0 , 1 , 0 ) , ( - 3 , 8 , - 8 ) } Do the vectors in the set S span the vector space V? A. Yes B. No 3. (1 pt) V= R 3 S= { ( 8 , 0 , 5 ) , ( - 7 , 0 , 2 ) , ( 10 , 0 , 3 ) , ( - 6 , 0 , 5 ) } Do the vectors in the set S span the vector space V? A. Yes B. No 4. (1 pt) V= P 2 S= {- 5 , 6 t + 3 , - 5 t 2 - 2 t + 9 } Do the vectors in the set S span the vector space V? A. Yes B. No 5. (1 pt) V= P 2 S= {- 10 t + 6 , - 10 t 2 + 6 , - 10 t 2 + 10 t } Do the vectors in the set S span the vector space V? A. Yes B. No 6. (1 pt) V= M 22 S= { ± - 4 - 4 0 0 ² , ± 0 0 - 4 - 4 ² , ± - 4 0 - 4 0 ² , ± 0 - 4 0 - 4 ² } Do the vectors in the set S span the vector space V? A. Yes B. No 7. (1 pt) V= R 2 S= { ( - 5 , 7 ) , ( 10 , - 14 ) } Are the vectors in the set S linearly independent in the vector space V? A. Yes B. No 8. (1 pt) V= R 2 S= { ( 1 , - 8 ) , ( 1 , 8 ) } Are the vectors in the set S linearly independent in the vector space V? A. Yes B. No 9. (1 pt) V= R 3 S= { ( - 5 , 0 , 0 ) , ( 7 , - 7 , 0 ) , ( 6 , - 8 , 1 ) } Are the vectors in the set S linearly independent in the vector space V? A. Yes B. No 10. (1 pt) V= R 3 S= { ( - 4 , 4 , 5 ) , ( 12 , - 12 , - 15 ) } Are the vectors in the set S linearly independent in the vector space V? A. Yes B. No 11. (1 pt) V= R 3 S= { ( 2 , - 1 , 1 ) , ( 4 , - 4 , 1 ) , ( - 4 , 4 , 4 ) } Are the vectors in the set S linearly independent in the vector space V? A. Yes B. No 12. (1 pt) V= P 1 S= { 5 , - 2 t } Are the vectors in the set S linearly independent in the vector space V? A. Yes B. No 13. (1 pt) V= P 1 S= { 9 - 7 t , 9 + 7 t } Are the vectors in the set S linearly independent in the vector space V? A. Yes B. No 14. (1 pt) V= P 2 S= { 5 t , 3 - 1 t } Are the vectors in the set S linearly independent in the vector space V? A. Yes

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## This note was uploaded on 09/01/2009 for the course MATH Math 3C taught by Professor Garcia-cerver during the Winter '08 term at UCSB.

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math3c-01-W08-4.. - Sample WeBWorK problems. 1.(1 pt) V=R2...

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