# Study sets matching "1 linear algebra"

Study sets

Classes

Users

linear equation

slope

y-intercept

x-intercept

An equation in two variables whose graph in a coordinate plane…

A ratio comparing the change in output over the change in inpu…

The value of the output when the input is zero (0, y). The poi…

The value of the input when the output is zero (x, 0). The poi…

linear equation

An equation in two variables whose graph in a coordinate plane…

slope

A ratio comparing the change in output over the change in inpu…

coordinate plane

origin

x-axis

y-axis

the grid created by the horizontal x-axis and the vertical y-a…

(0,0) in the coordinate plane; center of the grid

the horizontal number line in the coordinate plane (left to ri…

the vertical number line in the coordinate plane (up and down)

coordinate plane

the grid created by the horizontal x-axis and the vertical y-a…

origin

(0,0) in the coordinate plane; center of the grid

The number of solutions in a system of…

A system is said to be CONSISTENT if...

A system is said to be INCONSISTENT if.…

Echelon Form

None, One, or Infinitely Many

it has one or infinitely many solutions

it has no solution

1- rows of zeroes on the bottom, 2- each leading entry of a ro…

The number of solutions in a system of…

None, One, or Infinitely Many

A system is said to be CONSISTENT if...

it has one or infinitely many solutions

Quadrant

Solution of an equation in two variables

Graph of an equation in two variables

Linear equation

One of the four regions into which the x and y axes divide the…

An ordered pair that produces a true statement when the coordi…

The set of points in a coordinate plane that represent all sol…

An equation whose graph is a line.

Quadrant

One of the four regions into which the x and y axes divide the…

Solution of an equation in two variables

An ordered pair that produces a true statement when the coordi…

linear equation

slope

y-intercept

x-intercept

An equation in two variables whose graph in a coordinate plane…

A ratio comparing the change in output over the change in inpu…

The value of the output when the input is zero (0, y). The poi…

The value of the input when the output is zero (x, 0). The poi…

linear equation

An equation in two variables whose graph in a coordinate plane…

slope

A ratio comparing the change in output over the change in inpu…

linear equation

slope

Types of Slope

y-intercept

An equation in two variables whose graph in a coordinate plane…

A ratio comparing the change in output over the change in inpu…

The value of the output when the input is zero (0, y). The poi…

linear equation

An equation in two variables whose graph in a coordinate plane…

slope

A ratio comparing the change in output over the change in inpu…

x-axis

y-axis

domain

range

the horizontal axis of the coordinate plane.

the vertical axis of the coordinate plane.

the input of the function (x-values).

the output of the function (y-values).

x-axis

the horizontal axis of the coordinate plane.

y-axis

the vertical axis of the coordinate plane.

Augmented Matrix

3x4 Matrix

Elementary Row Operations for Matrices

Row Equivalent Matrices

3 rows and 4 columns

(1) Interchange any two rows... (2) Multiply a row by any nonzero…

Matrices that have a sequence of row operations to transform o…

Augmented Matrix

3x4 Matrix

3 rows and 4 columns

Matrix equation

Theorem 3

Identity matrix

Theorem 4

an equation that involves at least one matrix for instance, Ax…

If A is an m*n matrix, with columns a1...an, and if b is in Rm…

A square matrix with ones on the diagonal and zeros elsewhere

Let A be an m*n matrix. Then the following statements are logi…

Matrix equation

an equation that involves at least one matrix for instance, Ax…

Theorem 3

If A is an m*n matrix, with columns a1...an, and if b is in Rm…

Slope

Y-intercept

Standard Form

Slope-intercept Form

(y₂-y₁)/(x₂-x₁)

The point where the graph crosses the y-axis. In a linear equa…

Ax + By=C, where A, B, and C are not decimals or fractions, wh…

y=mx+b, where m is the slope and b is the y-intercept of the l…

Slope

(y₂-y₁)/(x₂-x₁)

Y-intercept

The point where the graph crosses the y-axis. In a linear equa…

Equivalent Systems

consistent system

inconsistent system

Row Echelon Form Qualifications [REF] (…

Have the same solution set

either one solution or infinitely many

no solution

1. All zero rows below nonzero rows... 2. Each leading entry of a…

Equivalent Systems

Have the same solution set

consistent system

either one solution or infinitely many

linear function

linear equation

y intercept

x intercept

a function whose graph forms a straight line Ax + By = C

any equation that can be written in standard form Ax + By = C

the y-coordinate where the graph intersects the y-axis, b (0,…

the x-coordinate where the graph intersects the x-axis (x, 0)

linear function

a function whose graph forms a straight line Ax + By = C

linear equation

any equation that can be written in standard form Ax + By = C

An equation in two variables whose grap…

A ratio comparing the change in output…

The value of the output when the input…

The value of the input when the output…

linear equation

slope

y-intercept

x-intercept

An equation in two variables whose grap…

linear equation

A ratio comparing the change in output…

slope