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 1 Number of solutions of a linear system
Reading Question 2 Number of solutions of a different linear system
Reading Question 3 How mathematics is a language
RREF Reading Questions
Reading Question 1 Matrix in RREF?
Reading Question 2 Calculate RREF of a matrix
Reading Question 3 Calculate system’s solution set, report RREF
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 1 Solution set of a homogeneous system
Reading Question 2 Solution set with more variables than equations
Reading Question 3 Null space in words
NM Reading Questions
Reading Question 1 Definition of nonsingular
Reading Question 2 How to recognize nonsingular?
Reading Question 3 Solution set of system with nonsingular coefficient matrix
VO Reading Questions
Reading Question 1 Seen vectors before?
Reading Question 2 Equality of vectors
Reading Question 3 Calculate scalar multiplication and adding vectors
LC Reading Questions
Reading Question 1 Write linear system as vector equality
Reading Question 2 Calculate linear combination equal to vector
Reading Question 3 Calculate vector form of a solution set
SS Reading Questions
Reading Question 1 Is vector in span?
Reading Question 2 Another is vector in span?
Reading Question 3 Calculate spanning set of a null space
LI Reading Questions
Reading Question 1 Is a set linearly independent?
Reading Question 2 Is another set linearly independent?
Reading Question 3 Connect linear (in)dependence to (non)singularity
LDS Reading Questions
Reading Question 1 Caclulate linear combination from dependent set
Reading Question 2 "Dependent" in definition of linear dependence
Reading Question 3 Prefer linearly dependent spanning set?
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 1 Calculate inverse of a \(2\times 2\) matrix
Reading Question 2 Calculate inverse of a \(3\times 3\) matrix
Reading Question 3 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 1 Span of a column space
Reading Question 2 Column space of a nonsingular matrix
Reading Question 3 Vector in row space?
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 1 Complex vector space
Reading Question 2 Calculate linear combination in Crazy Vector Space
Reading Question 3 Why prove things about the zero vector?
S Reading Questions
Reading Question 1 Subspace test
Reading Question 2 Apply the subspace test
Reading Question 3 Name five subspaces
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 1 Calculate dimension of \(P_6\)
Reading Question 2 Relate rank and nullity
Reading Question 3 Rank of a nonsingular matrix
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 1 Calculate a Specific Elementary Matrix
Reading Question 2 Calculate a \(3\times 3\) Determinant
Reading Question 3 Calculate a \(5\times 5\) Determinant
PDM Reading Questions
Reading Question 1 Use a Determinant Property
Reading Question 2 Another Nonsingular Equivalence
Reading Question 3 Determinant and Matrix Multiplication
EE Reading Questions
Reading Question 1 Calculate Eigenvalues of a \(2\times 2\) Matrix
Reading Question 2 Calculate Corresponding Eigenspaces of Previous Question
Reading Question 3 Evaluate a Polynomial Expression of Previous Matrix
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 1 Equivalence Relation
Reading Question 2 Characterization of Diagonalizable
Reading Question 3 Calculate a Diagonalization
LT Reading Questions
Reading Question 1 Linear Transformation or Not?
Reading Question 2 Calculate Matrix Representation
Reading Question 3 Theorem LTLC
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 1 Two isomorphic vector spaces
Reading Question 2 Compute a vector representation relative to a basis
Reading Question 3 First surprise?
MR Reading Questions
Reading Question 1 Why is Theorem FTMR called fundamental?
Reading Question 2 Calculate a matrix representation of a linear transformation
Reading Question 3 Second surprise?
CB Reading Questions
Reading Question 1 Change-of-basis matrix as a matrix representation
Reading Question 2 Calculate a change-of-basis matrix
Reading Question 3 Third surprise?
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
