# Study sets matching "1 linear algebra math"

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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…

Algebraically, the value of the output when the input is zero…

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

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…

Algebraically, the value of the output when the input is zero…

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…

C.The solution set is empty.

C. The solution set contains one solut…

A. The matrix is the augmented matrix o…

Is the statement "Two matrices are row…

A. The solution set has exactly one element, left parenthesis…

A. The solution has infinitely many elements.... B. The solution…

Determine the value(s) of h such that the matrix is the augme…

C. False, because if two matrices are row equivalent it means…

C.The solution set is empty.

A. The solution set has exactly one element, left parenthesis…

C. The solution set contains one solut…

A. The solution has infinitely many elements.... B. The solution…

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

Linear Equation

Linear System

What does RREF mean?

Pivot Position

An equation that can be written in the form a₁x₁+a₂x₂+...+aⁿxⁿ…

Collection of one or more linear equations

Row Reduced Echelon Form

A location in a matrix A that corresponds to a leading one in…

Linear Equation

An equation that can be written in the form a₁x₁+a₂x₂+...+aⁿxⁿ…

Linear System

Collection of one or more linear equations

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.

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…

If the augmented matrices of 2 linear s…

Another way to ask if a system is consi…

Echelon Form (properties)

Reduced Echelon Form (properties)

the 2 have the same solution set

does at least 1 solution exist

All non zero rows above zero rows... each leading entry of a row…

All properties from Echelon Form... leading entry is 1 in each n…

If the augmented matrices of 2 linear s…

the 2 have the same solution set

Another way to ask if a system is consi…

does at least 1 solution exist

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.

If the columns of A are dependent, then…

If the rows of A are dependent then Ax=…

Every set of six vectors in R4 is linea…

suppose Ax=b has two different soltions…

True

False

true

True

If the columns of A are dependent, then…

True

If the rows of A are dependent then Ax=…

False

Scalar multiplication

Standard Basis in Rn

Closed under addition

Closed under scalar multiplication

Multiplication of vectors by t, such that it becomes t(v1), t(…

Denoted by

**e**n, [1, 0, 0, 0...0] to the nth number. So in R3,…Two vectors, when added together, are still in the same subspa…

When a vector is multiplied by a scalar, it's still in the sam…

Scalar multiplication

Multiplication of vectors by t, such that it becomes t(v1), t(…

Standard Basis in Rn

Denoted by

**e**n, [1, 0, 0, 0...0] to the nth number. So in R3,…