Matrices Vocab Flashcards
Dimensions
Tells how many rows and columns the matrix has
Address
Number in a matrix that tells you the row and column of that number
Main Diagonal
Upper left corner to lower right corner
Square Matrix
The matrix length (row) and width (column) are the same
Scalar
Scales the number in a matrix using multiplication
Matrix
A rectangular array of numbers enclosed in brackets
Entry
Value in a matrix
Matrix Product
The product of two or more matrices
Multiplicative Identity Matrix
Any square matrix named with the letter “I” that has all of the entries along the main diagonal equal to 1 and all other entries are 0
Translation Matrix
Matrix used to translate coordinates on the coordinate plane
Reflection Matrix
A matrix that creates a minor image by reflecting each vertex over a specified line of symmetry
Rotation Matrix
A matrix used to rotate a figure
Determinate
The difference of the products of the diagonals
Coefficient Matrix
A system of linear equations in a standard form is the matrix by the coefficients for the variables in the equations
Cramer’s Rule
An expression for the solution of a system of linear equations with as many equations as unknowns Ax=B
Multiplicative Inverse
For a square matrix A, the inverse is written A-1. When A is multiplied by A-1 the result is the identity matrix I. Non-square matrices cannot have an inverse
Matrix Equation
AX=B, where A is the coefficient matrix
Variable Matrix
AX=B, X is the variable matrix
Constant Matrix
AX=B, B is the constant matrix
Augmented Matrix
Consists of the coefficient and constant terms of a system of linear equations
Row Operation
To change form of the matrix
Row Reduction
The process of performing elementary row operations on an augmented matrix to solve a system
Reduced Ro-Echelon Form
Going to a matrix to a y= or x=
[1 0 : 5] -> 1x=5
[0 1 : 2] -> 1y=2
