7. (V 2) Let Vbe the set of all 2 × 2 matrices (denoted by M₂(R)), and H denote the set of 2 × 2 ma [a b] with trace zero, that is H € example of a vector in Span H that is not in H. M₂(R)|a +d=0}. Is H a subspace of V? Justify or fi d
Chapter 1 Linear Equations in Linear Algebra
1-1 Systems of Linear Equations
1-2 Row Reduction and Echelon Forms
1-3
1-4 The Matrix Equation Ax = b
1-5 Solution Sets of Linear Systems
1-6 Applications of Linear Systems
1-7 Linear Independence
1-8 Introduction to Linear Transformations
1-9 The Matrix of a Linear Transformation
Chapter 2 Matrix Algebra
2-1 Matrix Operations
2-2 The Inverse of a Matrix
2-3 Characterizations of Invertible Matrices
2-4 Partitioned Matrices
2-5 Matrix Factorizations
2-6 The Leontief Input-Output Model
2-7 Applications to Computer Graphics
Chapter 3 Determinants
3-1 Introduction to Determinants 172
3-2 Properties of Determinants 179
3-3 Cramer's Rule, Volume, and Linear Transformations
Chapter 4 Vector Spaces
4-1 Vector Spaces and Subspaces
4-2 Null Spaces, Column Spaces, Row Spaces, and Linear Transformations
4-3 Linearly Independent Sets; Bases
![7. (V 2) Let Vbe the set of all 2 × 2 matrices (denoted by M₂(R)), and H denote the set of 2 × 2 matrices
with trace zero, that is H =
example of a vector in Span H that is not in H.
{[ed] € M₂ (R)|a+d=0
d=0}. Is H a subspace of V? Justify or find an](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1784d6b6-d0da-4ca6-88bb-f1a2aff3fb92%2F5276e992-0a9e-4d51-9ca6-511ae9fade48%2F6kppeev_processed.png&w=3840&q=75)
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