Problem 11. (1 point) Let U₁, U2, U3 be the vectors in R³ defined by 31 15 14 1 U3 = 15 18 -2 20 (a) Is (U₁, U₂, U3} lin
Posted: Fri Jul 01, 2022 5:29 am
Problem 11. (1 point) Let U₁, U2, U3 be the vectors in R³ defined by 31 15 14 1 U3 = 15 18 -2 20 (a) Is (U₁, U₂, U3} 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, V₂, and U3 0 = (c) Type the dimension of span {V₁, V2, V3}:| U₁ = -16 0 = U₁+ U₂ = (b) Is {U₁, U₂} 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 U₁ and U₂. U₂+ U₁+ V3 U₂