DE1 (1)

−1 | Round the result to decimal digits A -1.0 B 0.2 C 16 D -8.0 Câu 16 In R2 given bases S1 , S2 , S3 and a vector u such that [u]S1 = (−3, 2)T Knowing that PS1 →S2 = −2 −3 −47 −25 T A [u]S3 =( , ) 4 −3 −1 , PS3 →S2 = B [u]S3 =(-39,-28)T C [u]S3 =(-4, −7 T ) D [u]S3 =(-50,45)T Câu 17 Given the set of vectors: M = {(5, 2, 1), (2, m, 1), (m, 1, 2)} For which value of m below, this set of vectors is linearly√dependent? √ √ √ A m = + 25 B m = + 30 C m = + 25 D m = + 35 Câu 18 Given the linearly independent set of vectors S = {e1 , e2 , e3 } Find all values m ∈ R such that the set of vectors S1 = {4e1 + −3e2 + 5e3 , 6e1 + −1e2 + −2e3 , −1e1 + −4e2 + me3 } is linearly dependent 163 177 191 149 A B C D 14 14 14 14 Câu 19 Find the dimension of vector space V = span{(2, −2, 4), (1, 3, 6), (1, −5, −2)} A B C D Câu 20 Given the vector space X with a basis S = {u, v, w} and vector u ∈ X.Given that [u]S = (−8, −8, 17)T Find coordinates of u with respect to the basis S1 = {u + v + w, u + v, 2u + w} A [u]S1 = (17.0, −25.0, 0.0)T B [u]S1 = (−25.0, 17.0, 0.0)T T C [u]S1 = (8.5, −16.5, 0.0) D [u]S1 = (0.0, −25.0, 0.0)T THE END ĐÁP ÁN Đề Câu C Câu D Câu D Câu 13 B Câu 17 C Câu D Câu B Câu 10 A Câu 14 A Câu 18 A Câu B Câu A Câu 11 A Câu 15 D Câu 19 C Câu C Câu D Câu 12 C Câu 16 A Câu 20 A