Search
Create
Log in
Sign up
Log in
Sign up
Math 3321
STUDY
Flashcards
Learn
Write
Spell
Test
PLAY
Match
Gravity
Test 3 potential bonus questions in Engineering math @ University of Houston
Terms in this set (17)
If a system of n linear equations in n unknowns is consistent, then the rank of the matrix of coeﬃcients is n.
Sometimes true
If the matrix of coeﬃcients of a system of n linear equations in n unknowns is nonsingular, then the system has inﬁnitely many solutions.
Never true,
If the reduced row echelon form of the matrix of coeﬃcients of a system of n linear equations in n unknowns is not the identity matrix, then the determinant of the matrix of coeﬃcients is non-zero
Never true,
If a system of n linear equations in n unknowns is dependent, then the matrix of coeﬃcients has rank less than or equal to n − 1.
Always true
If the matrix of coeﬃcients of a system of n linear equations in n unknowns does not have an inverse, then the system has no solutions.
Sometimes true
If a homogeneous system of n linear equations in n unknowns has inﬁnitely many solutions, then the matrix of coeﬃcients is singular.
Always true
If the rank of the augmented matrix of a system of n linear equations in n unknowns is greater than the rank of the matrix of coeﬃcients, then the matrix of coeﬃcients is nonsingular.
Never true, i.e., false
If the matrix of coeﬃcients of a homogeneous system of n linear equations in n unknowns has an inverse, then the system does not have inﬁnitely many solutions.
Always true
If a system of n linear equations in n unknowns is inconsistent, then the reduced row echelon form of the matrix of coeﬃcients is not In. (Letter I with subscript ''n'')
Always true
If the matrix of coeﬃcients of a homogeneous system of n linear equations in n unknowns is nonsingular, then the trivial solution is the only solution of the system.
Always true
The rank of the matrix of coeﬃcients of a homogeneous system of m linear equations in n unknowns is never less than the rank of the augmented matrix.
Always true
If the reduced row echelon form of the matrix of coeﬃcients of a system of n linear equations in n unknowns is not the identity, then the system is inconsistent.
Sometimes true
If a system of n linear equations in n unknowns has inﬁnitely many solutions, then the rank of the matrix of coeﬃcients is n − 1.
Sometimes true.
If 0 is an eigenvalue of the matrix of coeﬃcients of a system of n linear equations in n unknowns, then the system has inﬁnitely many solutions.
Sometimes true.
If 0 is not an eigenvalue of the matrix of coeﬃcients of a homogeneous system of n linear equations in n unknowns, then the system does not have inﬁnitely many solutions.
Always true.
If a system of n linear equations in n unknowns is dependent, then 0 is an eigenvalue of the matrix of coeﬃcients.
Always true.
If 0 is an eigenvalue of the matrix of coeﬃcients of a homogeneous system of n linear equations in n unknowns, then the system has inﬁnitely many solutions.
Always true.
YOU MIGHT ALSO LIKE...
Chapter 5: Systems of Equations and Matrices
26 Terms
Gleudr
Analytical test chapter 2 part 1
20 Terms
hgm17
Ch. 3 & 4
45 Terms
phelpsy310
Algebra 2 Unit 3
10 Terms
amandareneahall
OTHER SETS BY THIS CREATOR
Psychology (Herb Agan) - Test 3
36 Terms
Ahmed_Diefalla
Vocabulary
5 Terms
Ahmed_Diefalla
Phycology Test 1
36 Terms
Ahmed_Diefalla
Solubility Rules Practice
55 Terms
Ahmed_Diefalla