Get down with the lingo
Augmented Matrix
A matrix that represents a system of equations by using only the coefficients and uses numbers on both sides of the equal sign.
Determinant
In a 2 × 2 matrix, the determinant is the difference between the product of the left diagonal and the product of the right diagonal. If 0, the inverse of a matrix cannot be found.
Gaussian Elimination
A way of solving a multivariate system of equations by a combination of multiplying the equations by a number, and adding equations to other equations in order to eliminate variables.
Identity Matrix
A matrix that is all 0's except the leading diagonal which are 1's.
Inequality
Similar to an equation, these have > or ≥ or < or ≤ instead of an equal sign.
Inverse Matrix
A matrix that, when multiplied to a matrix, will give the identity matrix.
Matrix
An organized way of displaying data or equations in brackets.
Multivariate Systems Of Equations
Equations that have more than two variables in them.
Partial Fractions
A simpler way to state a complicated algebraic fraction by breaking it into a sum of smaller algebraic fractions.
Reduced Row Echelon Form
A matrix representing the solution to a system of equations. It contains only 0's, 1's and numbers on the right. You can clearly look at this form and know the solution for the system.
Row Echelon Form
A matrix representing the triangular form of a system of equations.
Scalar Multiplication
Multiplying each entry in a matrix by the same number.
Transpose
When you take the first column of a matrix and make it the first row, etc. Change all of the columns to rows.