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
icon
Related questions
Question
Let u, w, v1, V2, and v3 be the vectors in R* defined by
9.
16
9.
19
-12
-10
12
-3
7
Uj =
17
u =
w =
U2 =
U3 =
-16
-5
-19
-3
8
22
16
-4
10
Is u E span{V1, U2, 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, v2,
and vz if u is in the span.
0 =
u+
U2+
U3
*, Is w E span{v1, v2, V3}? 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 v3 if w is in the span.
0 =
w+
vi+
Uzt
U3
, Type the dimension of span{v1,V2, V3, u}:
Transcribed Image Text:Let u, w, v1, V2, and v3 be the vectors in R* defined by 9. 16 9. 19 -12 -10 12 -3 7 Uj = 17 u = w = U2 = U3 = -16 -5 -19 -3 8 22 16 -4 10 Is u E span{V1, U2, 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, v2, and vz if u is in the span. 0 = u+ U2+ U3 *, Is w E span{v1, v2, V3}? 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 v3 if w is in the span. 0 = w+ vi+ Uzt U3 , Type the dimension of span{v1,V2, V3, u}:
Expert Solution
steps

Step by step

Solved in 2 steps with 4 images

Blurred answer
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning