Appendix RQ. Reading Questions
WILA Reading Questions
Reading Question 1 Whether a given equation is linear
Reading Question 2 Solve a linear system, 2 equations, 2 unknowns
Reading Question 3 Usefulness of linear systems
SSLE Reading Questions
Reading Question 4 Categorizing Sets of Solutions
Reading Question 5 Matching Systems and Solutions
Reading Question 6 Ambiguous Language
RREF Reading Questions
Reading Question 4 Row Reduced Echelon Form (RREF)
Reading Question 7 Identifying Row Operations
Reading Question 6 Identifying Problems with Reduced Row-Echelon Form
TSS Reading Questions
Reading Question 1 How to analyze consistency?
Reading Question 2 How to identify independent/dependent variables?
Reading Question 3 Possibilities for solution sets
HSE Reading Questions
Reading Question 4 Implication of a solution of a homogeneous linear system
Reading Question 5 Nontrivial solutions of a homogeneous system
Reading Question 6 The Trivial Solution for Homogeneous Systems
NM Reading Questions
Reading Question 10 Definition of nonsingular
Reading Question 5 Testing matrices for nonsingularity
Reading Question 6 Nonsingular Matrices
VO Reading Questions
Reading Question 4 Computing a linear combination
Reading Question 5 Vector space properties by name
Reading Question 6 Vector space properties by name, closure and existence
LC Reading Questions
Reading Question 4 Algorithm for Writing a Linear Combination
Reading Question 5 Vector Form for a Solution of a Linear System of Equations
Reading Question 6 Linear Combination
SS Reading Questions
Reading Question 4 Membership in span
Reading Question 5 Another membership in span
Reading Question 6 Null space of a matrix
LI Reading Questions
Reading Question 6 Implication of a vector equation
Reading Question 5 Definition of linear independence
Reading Question 4 Completion of linearly independent sets
LDS Reading Questions
Reading Question 4 Linearly Independent Spanning Set
Reading Question 5 Spanning Sets
Reading Question 6 Reducing a Span
O Reading Questions
Reading Question 1 Given set orthogonal?
Reading Question 2 Orthogonal vs orthonormal
Reading Question 3 Output of Gram-Schmidt process
MO Reading Questions
Reading Question 1 Calculate sum and scalar mult of matrices
Reading Question 2 Vector space of matrices
Reading Question 3 Calculate transpose
MM Reading Questions
Reading Question 1 Matrix-vector product
Reading Question 2 Calculate product of two matrices
Reading Question 3 Matrix-vector product form of a linear system
MISLE Reading Questions
Reading Question 5 Two ways to calculate inverses
Reading Question 4 Completed matrix is invertible or not
Reading Question 6 Title of Theorem SS
MINM Reading Questions
Reading Question 1 Calculate inverse, solve system
Reading Question 2 Inverse doesn’t exist
Reading Question 3 Unitary or not
CRS Reading Questions
Reading Question 6 Span of a column space
Reading Question 5 Column space of a nonsingular matrix
Reading Question 4 Vectors in row space, or not
FS Reading Questions
Reading Question 1 Calculate element of left null space
Reading Question 2 Calculate parts of extended echelon form
Reading Question 3 Significance of Theorem FS
VS Reading Questions
Reading Question 4 Functions with Boundary Conditions
Reading Question 5 Where the two operations interact
Reading Question 6 Vector space properties, symbolic and numerical
S Reading Questions
Reading Question 6 Subspace test
Reading Question 4 Additive closure argument
Reading Question 5 Scalar closure argument
LISS Reading Questions
Reading Question 1 Linear dependence of set of matrices
Reading Question 2 Span vs. spans
Reading Question 3 Linear combination of vectors in linearly independent set
B Reading Questions
Reading Question 1 Columns of a nonsingular matrix
Reading Question 2 Linear combination of columns
Reading Question 3 Why desire orthonormal?
D Reading Questions
Reading Question 4 Match vector spaces to basis size
Reading Question 5 Match matrix properties to their value
Reading Question 6 Dimension, linear independence, and spanning
PD Reading Questions
Reading Question 1 Title of Theorem G
Reading Question 2 Theorem RMRT surprising
Reading Question 3 Calculate dimensions of the 4 subspaces
DM Reading Questions
Reading Question 4 Determinant of a Matrix
Reading Question 5 Computing the Determinant of a Matrix
Reading Question 6 Elementary Matrices
PDM Reading Questions
Reading Question 4 Determinant of a Product
Reading Question 5 Determinant and Invertibility
Reading Question 6 Determinant from a Factorization
EE Reading Questions
Reading Question 6 Algebraic and geometric multiplicity of eigenvalues
Reading Question 7 Calculating eigenvalues and eigenspaces
Reading Question 8 Match eigenvectors to eigenvalues
PEE Reading Questions
Reading Question 1 Eigenvalues of a Nonsingular Matrix
Reading Question 2 Maximum Number of Distinct Eigenvalues
Reading Question 3 Eigenvalues of a Hermitian Matrix
SD Reading Questions
Reading Question 4 Algorithm for Diagonalizing a Matrix
Reading Question 5 Relating diagonalizable to eigenvalues
Reading Question 7 Equivalent statements to \(A\) is diagonalizable
LT Reading Questions
Reading Question 4 Linear Transformations
Reading Question 5 Converse of Theorem LTTZZ
Reading Question 6 Preimage
ILT Reading Questions
Reading Question 1 Why Not Injective?
Reading Question 2 Kernel of an Injective Linear Transformation
Reading Question 3 Relate Theorem KPI to Theorem PSPHS
SLT Reading Questions
Reading Question 1 Why Not Surjective?
Reading Question 2 Range of a Surjective Linear Transformation
Reading Question 3 Injective vs Surjective
IVLT Reading Questions
Reading Question 1 Conditions for Invertibility
Reading Question 2 Isomorphic Vector Spaces
Reading Question 3 Linear Transformations vs Linear Systems
VR Reading Questions
Reading Question 4 Algorithm for calculating a vector representation
Reading Question 5 Isomorphic vector spaces
Reading Question 6 The power of an isomorphism
MR Reading Questions
Reading Question 4 A "fundamental" theorem
Reading Question 5 Algorithm for finding a matrix representation
Reading Question 6 The power of a matrix representation
CB Reading Questions
Reading Question 4 Change-of-basis matrix as a matrix representation
Reading Question 5 Steps in computation of a change-of-basis matrix
Reading Question 6 The ubiquity of changing basis
OD Reading Questions
Reading Question 1 Name three classes of normal matrices
Reading Question 2 Theorem UTMR and Theorem OD
Reading Question 3 Importance of an orthonormal basis composed of eigenvectors
