Chapter 7 Solving Systems Of Equations

Question 0

What are the system of linear equation possibilities

Answer 0

One solution
No solution
Infinitely many solutions

Question 1

How do you solve by the graphing method

Answer 1

Solve both equations for y in terms of x

Graph both lines
State intersection
Check each solution in original equation

Question 2

For the system of linear equation possibilities, what does it mean it there is no solution

And for infinitely many solutions?

Answer 2

The lines are parallel

Same line

Question 3

What does it mean if the system is consistent or inconsistent

Answer 3

Consistent : 1 solution

Inconsistent : no solutions

Question 4

What is the slope of a line

Answer 4

-a
m = —–
b

Question 5

What is the general form of a line

Answer 5

Ax + By = C

Question 6

What happens if you solve and get a false statement

Answer 6

Null set

Question 7

What happens if you solve and get a true statement

Ex 9 = 9

Answer 7

Infinity

Question 8

What is the break even point

Answer 8

When the cost equals the revenue

Question 9

What is Gaussian elimination

Answer 9

Interchange 2 equations

Multiply one of the equations by a nonzero constant

Add a multiple of one equation to another equation

Question 10

What is a nonsquare system

Answer 10

When the number of equations differs from the number of variables

Question 11

What is partial fraction decomposition

Answer 11

When a rational expression can be written out as the sum of two or more simpler rational expressions

Question 12

What equation do you use for data analysis curve fitting

Answer 12

General equation of parabola

Question 13

What is the general equation of a parabola

Answer 13

y = ax^2 + bx + c

Question 14

How do you perform data analysis curve fitting

Answer 14

Plug in values that are passed through, into gen equation or parabola

Find 3 equations

Use Gaussian elimination method

Question 15

What is the order of a matrix

Answer 15

rows x # columns

M x N

Question 16

What is an identity matrix

Answer 16

When you have a diagonal of 1’s and the rest of the values are 0

Question 17

How do you find the inverse matrix

Answer 17

Find the determinate

det A = | A | = ad - bc
[ d -b ]
| A | = | a b | A^-1 = [ -c a ]
| c d |

Question 18

What are the requirements in order to add matrices

Answer 18

Have to be in same order

Question 19

How do you add/subtract matrices

Answer 19

Add corresponding entries

Question 20

What is scaler multiplication

Answer 20

Simply multiply value by matrix entries

Question 21

What are the requirements in order to multiply matrices

Answer 21

of columns of 1st matrix has to equal # of rows of 2nd matrix

n x m. m x r

New matrix: n x r

Question 22

How do you multiply matrices

Answer 22

Multiply row by the column