Q1.3 1 Point V = M2x2, the vector space of all 2 x 2 matrices, and H is the subset of Max2 consisting of all invertible 2 × 2 matrices. OH is a subspace of V. OH is not a subspace of V. Save Answer Q1 4 Points In each part, determine if the given set H is a subspace of the given vector space V. Q1.1 1 Point V = R and H is the set of all vectors in R4 which have the form a b x= 1-2a for some scalars a, b. 1+3b 2 (e.g., the vector x = is an example of one element of H.) OH is a subspace of V. OH is not a subspace of V. Save Answer Q1.2 1 Point V = P3, the vector space of all polynomials whose degree is at most 3, and H = +³, 3t2}. OH is a subspace of V. OH is not a subspace of V. Save Answer Span{2+ Q1.3 1 Point V = M2x2, the vector space of all 2 x 2 matrices, and H is the subset of M2x2 consisting of all invertible 2 × 2 matrices. OH is a subspace of V. OH is not a subspace of V. Save Answer

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 69E: Find a basis for R2 that includes the vector (2,2).
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Related questions
Question
Q1.3
1 Point
V = M2x2, the vector space of all 2 x 2 matrices, and H is the subset of Max2 consisting of all
invertible 2 × 2 matrices.
OH is a subspace of V.
OH is not a subspace of V.
Save Answer
Transcribed Image Text:Q1.3 1 Point V = M2x2, the vector space of all 2 x 2 matrices, and H is the subset of Max2 consisting of all invertible 2 × 2 matrices. OH is a subspace of V. OH is not a subspace of V. Save Answer
Q1
4 Points
In each part, determine if the given set H is a subspace of the given vector space V.
Q1.1
1 Point
V = R and H is the set of all vectors in R4 which have the form
a
b
x=
1-2a
for some scalars a, b.
1+3b
2
(e.g., the vector x =
is an example of one element of H.)
OH is a subspace of V.
OH is not a subspace of V.
Save Answer
Q1.2
1 Point
V = P3, the vector space of all polynomials whose degree is at most 3, and H =
+³, 3t2}.
OH is a subspace of V.
OH is not a subspace of V.
Save Answer
Span{2+
Q1.3
1 Point
V = M2x2, the vector space of all 2 x 2 matrices, and H is the subset of M2x2 consisting of all
invertible 2 × 2 matrices.
OH is a subspace of V.
OH is not a subspace of V.
Save Answer
Transcribed Image Text:Q1 4 Points In each part, determine if the given set H is a subspace of the given vector space V. Q1.1 1 Point V = R and H is the set of all vectors in R4 which have the form a b x= 1-2a for some scalars a, b. 1+3b 2 (e.g., the vector x = is an example of one element of H.) OH is a subspace of V. OH is not a subspace of V. Save Answer Q1.2 1 Point V = P3, the vector space of all polynomials whose degree is at most 3, and H = +³, 3t2}. OH is a subspace of V. OH is not a subspace of V. Save Answer Span{2+ Q1.3 1 Point V = M2x2, the vector space of all 2 x 2 matrices, and H is the subset of M2x2 consisting of all invertible 2 × 2 matrices. OH is a subspace of V. OH is not a subspace of V. Save Answer
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