WGU Finite Mathematics( MATH 1709) QTTI
Task 3 - passed task 3 Updated 2024 with
complete solution
3 possible outcomes of a system of 2 linear equations -
ANSWER-1. unique solution (consistent&independent)
2. infinite solution (dependent)
3. no solution (inconsistent)
methods to solve linear equations - ANSWER-elimination and
substitution
In using matrices to solve systems of linear equations, what are
the 3 allowed row operations? - ANSWER-swap any 2 rows,
replace a row by a multiple of itself, replace a row by sum of
that row and constant multiple of another row
What is a dependent system? - ANSWER-system with infinitely
many solutions
, How is the solution of a dependent system expressed? -
ANSWER-with an arbitrary variable (t, f(t))
When we row reduce a matrix, we must always turn each pivot
into a 1 before clearing its column, or else errors will result. -
ANSWER-false
Some row reduced matrices have a 0 in the top left-hand corner -
ANSWER-true
If the graphs of two linear equations are parallel and distinct,
then there is a unique solution to the system. - ANSWER-False.
The system has no solution.
If a system of linear equations has infinitely many solutions,
then it may be inconsistent. - ANSWER-false
The system x + y + z = 1; x = y; y = z, y = 1 is inconsistent. -
ANSWER-true
If two of the equations in a system of linear equations are
inconsistent, then the whole system is inconsistent. - ANSWER-
true
Task 3 - passed task 3 Updated 2024 with
complete solution
3 possible outcomes of a system of 2 linear equations -
ANSWER-1. unique solution (consistent&independent)
2. infinite solution (dependent)
3. no solution (inconsistent)
methods to solve linear equations - ANSWER-elimination and
substitution
In using matrices to solve systems of linear equations, what are
the 3 allowed row operations? - ANSWER-swap any 2 rows,
replace a row by a multiple of itself, replace a row by sum of
that row and constant multiple of another row
What is a dependent system? - ANSWER-system with infinitely
many solutions
, How is the solution of a dependent system expressed? -
ANSWER-with an arbitrary variable (t, f(t))
When we row reduce a matrix, we must always turn each pivot
into a 1 before clearing its column, or else errors will result. -
ANSWER-false
Some row reduced matrices have a 0 in the top left-hand corner -
ANSWER-true
If the graphs of two linear equations are parallel and distinct,
then there is a unique solution to the system. - ANSWER-False.
The system has no solution.
If a system of linear equations has infinitely many solutions,
then it may be inconsistent. - ANSWER-false
The system x + y + z = 1; x = y; y = z, y = 1 is inconsistent. -
ANSWER-true
If two of the equations in a system of linear equations are
inconsistent, then the whole system is inconsistent. - ANSWER-
true
