SNHU MAT 240 COMPLETE EXAM REVIEW
WITH FULL SOLUTIONS
●● Inconsistent solution
Answer: The system has no solution
●● Consistent solution
Answer: The system has a solution
●● Unique solution
Answer: The system has only one solution
●● Non Unique solution
Answer: The system has multiple solutions
●● Coefficient Matrix
Answer: A Matrix where the coefficients are the column
●● Augmented Matrix
Answer: A coefficient matrix plus a column for constants
●● Echelon Form(REF)
,Answer: All 0's below the pivot rows
●● Reduced Echelon Form (RREF)
Answer: Just 0's and 1's in the pivot position(Not accounting for free
vars
●● Pivot Position
Answer: Position of the lading one
●● Standard VAriable
Answer: Variables Corresponding to pivots
●● Free Variables
Answer: Nonpivot variables
●● Linear Combination
Answer: A sum of scalar multiples of vectors. The scalars are called the
weights
●● mxn Matrix
Answer: A matrix with m rows and n columns
●● Identity matrix
, Answer: A square matrix with ones (1s) along the main diagonal, from
the upper left element to the lower right element, and zeros (0s)
everywhere else.
●● Homogeneous system
Answer: The system of equations has the trivial solution
●● Trivial Solution
Answer: The zero vector solution to a system
●● Span
Answer: The set of all linear combinations of a vector
●● Solution set
Answer: A vector representing the solution
●● Linear independence
Answer: A system with only one solution that is the zero vector
●● Linear dependence
Answer: more than one solution to a system not just the zero vector
●● Domain
WITH FULL SOLUTIONS
●● Inconsistent solution
Answer: The system has no solution
●● Consistent solution
Answer: The system has a solution
●● Unique solution
Answer: The system has only one solution
●● Non Unique solution
Answer: The system has multiple solutions
●● Coefficient Matrix
Answer: A Matrix where the coefficients are the column
●● Augmented Matrix
Answer: A coefficient matrix plus a column for constants
●● Echelon Form(REF)
,Answer: All 0's below the pivot rows
●● Reduced Echelon Form (RREF)
Answer: Just 0's and 1's in the pivot position(Not accounting for free
vars
●● Pivot Position
Answer: Position of the lading one
●● Standard VAriable
Answer: Variables Corresponding to pivots
●● Free Variables
Answer: Nonpivot variables
●● Linear Combination
Answer: A sum of scalar multiples of vectors. The scalars are called the
weights
●● mxn Matrix
Answer: A matrix with m rows and n columns
●● Identity matrix
, Answer: A square matrix with ones (1s) along the main diagonal, from
the upper left element to the lower right element, and zeros (0s)
everywhere else.
●● Homogeneous system
Answer: The system of equations has the trivial solution
●● Trivial Solution
Answer: The zero vector solution to a system
●● Span
Answer: The set of all linear combinations of a vector
●● Solution set
Answer: A vector representing the solution
●● Linear independence
Answer: A system with only one solution that is the zero vector
●● Linear dependence
Answer: more than one solution to a system not just the zero vector
●● Domain