Let u, w, v1 , U2 , and v3 be the vectors in R* defined by 9 16 19 -10 12 8. U2 = u = w = U1 = 17 U3 = -16 -5 -19 8. 22 16 -4 10 Is u E span{U1, V2, U3}? Write all zeros if it is not in the span or write zero as a non-trivial (not all zero coefficients) linear combination of u, v1, U2, and vz if u is in the span. 0 = и+ U3 ', Is w E span{v1,V2, U3}? Write all zeros if it is not or if it is in the span write zero as a non-trivial (not all zero coefficients) linear combination of w, U1, U2, and U3 if w is in the span. 0 = w+ U2+ U3 , Type the dimension of span{v1, U2, V3, u}:
Let u, w, v1 , U2 , and v3 be the vectors in R* defined by 9 16 19 -10 12 8. U2 = u = w = U1 = 17 U3 = -16 -5 -19 8. 22 16 -4 10 Is u E span{U1, V2, U3}? Write all zeros if it is not in the span or write zero as a non-trivial (not all zero coefficients) linear combination of u, v1, U2, and vz if u is in the span. 0 = и+ U3 ', Is w E span{v1,V2, U3}? Write all zeros if it is not or if it is in the span write zero as a non-trivial (not all zero coefficients) linear combination of w, U1, U2, and U3 if w is in the span. 0 = w+ U2+ U3 , Type the dimension of span{v1, U2, V3, u}:
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.3: Subspaces Of Vector Spaces
Problem 52E
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