# Study sets matching "1 linear algebra math"

Study sets

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Classes

Users

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…

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

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…

inconsistent

consistent

homogeneous

underspecified

a system of linear equations that has no solution

a system of linear equations that has a solution

if the matrix is empty and all the variables are 0 (or somethi…

more unknowns than equations

inconsistent

a system of linear equations that has no solution

consistent

a system of linear equations that has a solution

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.

x bar parallel is

two vectors are orthogonal to each othe…

magnitude is

In an LU decomposition, the columns of…

the orthogonal projection of x bar onto the line

u * v = 0

the square root of each component squared

the pivotal columns in original matrix

x bar parallel is

the orthogonal projection of x bar onto the line

two vectors are orthogonal to each othe…

u * v = 0

Homogeneous Linear System

Trivial/Nontrivial Solutions

The homogeneous equation Ax=0 has a non…

A nontrivial solution x can have some z…

1. A system of linear equations is said to be homogeneous if i…

1. The zero solution is called the trivial solution... 2. The non…

the equation has at least one free variable.

not all of the entries are zero.

Homogeneous Linear System

1. A system of linear equations is said to be homogeneous if i…

Trivial/Nontrivial Solutions

1. The zero solution is called the trivial solution... 2. The non…

Function

Function Notation

Input

Output

A relationship where each input has exactly one output.

If x is input and y is the output, then the function notation…

A number in the domain of a function. ... The independent variabl…

A number in the range of a function.... The dependent variable.

Function

A relationship where each input has exactly one output.

Function Notation

If x is input and y is the output, then the function notation…

Constant Term

Coefficient

Variable

Slope-intercept form

In Algebra, a constant is a number on its own, or sometimes a…

A number used to multiply a variable.

A symbol for a number we don't know yet. It is usually a lette…

A way to express the equation of a line. In general, the formu…

Constant Term

In Algebra, a constant is a number on its own, or sometimes a…

Coefficient

A number used to multiply a variable.

Coordinate Plane

x-axis

y-axis

Quadrants

Formed by the intersection of two number lines, the horizontal…

The horizontal axis on a coordinate plane.

The vertical axis on a coordinate plane.

The four regions into which the x-axis and y-axis separate the…

Coordinate Plane

Formed by the intersection of two number lines, the horizontal…

x-axis

The horizontal axis on a coordinate plane.

rate or rate of change

constant rate of change

constant rate of change

zero rate

measure like miles per hour or price per item

rate that stays the same throughout the table

graph of this rate is a straight line

graph of this rate is a horizontal line

rate or rate of change

measure like miles per hour or price per item

constant rate of change

rate that stays the same throughout the table

Linear Equation

System of Linear Equations

Solution

Solution Set

describes a firsrt order line in Rn equations of the form a1x1…

collection of 1+ linear equations to be solved simultaneously

a set of real numbers s1...sn such that each equation holds if…

a set of all solutions in a system

Linear Equation

describes a firsrt order line in Rn equations of the form a1x1…

System of Linear Equations

collection of 1+ linear equations to be solved simultaneously