Let ?1v1, ?2v2, ?3v3 be the vectors in ℝ3 defined by 16-964-18U2-5U3 =-28-11427(a) Is {v1, U2, V3} linearly independent? Write all zeros if it is or if it is linearly dependent write zero as a non-trivial (not allzero coefficients) linear combination of v1, V2, and v30 =vi+UztU3(b) Is {v2, V3 } linearly independent? Write all zeros if it is or if it is linearly dependent write zero as a non-trivial (not allzero coefficients) linear combination of v2 and v3.0 = 0U2+ 0U3(c) Type the dimension of span{v1, V2, V3}: 2

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16 4 Uj = -18 U2 = U3 = -28 -1 14 27 (a) Is {v1, U2, v3} linearly independent? Write all zeros if it is or if it is linearly dependent write zero as a non-trivial (not all zero coefficients) linear combination of v1, U2, and v3 0 = vi+ v2+ U3 (b) Is {v2, V3} linearly independent? Write all zeros if it is or if it is linearly dependent write zero as a non-trivial (not all zero coefficients) linear combination of v2 and v3. ) = 0 U2+ 0 U3 (c) Type the dimension of span{v1, V2, V3 }: 2

16 4 Uj = -18 U2 = U3 = -28 -1 14 27 (a) Is {v1, U2, v3} linearly independent? Write all zeros if it is or if it is linearly dependent write zero as a non-trivial (not all zero coefficients) linear combination of v1, U2, and v3 0 = vi+ v2+ U3 (b) Is {v2, V3} linearly independent? Write all zeros if it is or if it is linearly dependent write zero as a non-trivial (not all zero coefficients) linear combination of v2 and v3. ) = 0 U2+ 0 U3 (c) Type the dimension of span{v1, V2, V3 }: 2

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.7: The Inverse Of A Matrix

Problem 30E

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