# SYMKC Week 6 Flashcards

In order to multiply two matrices, (m X n) (n X p)

the inner dimensions must be the same

the “n”

We can add and subtract two matrices if ______

the dimensions are the same

Name the ways you could solve a system

- Substitution
- Elimination
- Graphing
- Technology
- Matrices
- Cramer’s Rule

There is no defined process for _______ a matrix by a matrix

dividing

another name for rectangular arrangement

array

a method for solving systems of linear equations that involves adding the multiple of one equation to the multiple of another equation with the goal of eliminating a variable.

elimination

the individual values of a matrix

elements

a rectangular arrangement of numbers

matrix

Uses of a determinant

1) solving systems of linear equations

2) finding inverses for matrices

represents a system of equations written in standard form. It includes the variables’ coefficients in the first three columns and the constant term in the final column

augmented matrix

the solution to a three variable system of equations may be represented by _______.

an ordered triple (x, y, z)

the number of elements of a matrix is the ____________

product of the number of row and the number of columns

Symbolism for the inverse of a matrix A

zero matrix

Two matrices are equal if and only if

the order (or dimensions) are the same and the corresponding elements are the same

Instead of a process for dividing matrices, we

multiply both sides by an inverse.

How many solutions will result with the system?

None - all three planes do not intersect

matrix addition is _______ and ________.

commutative and associative

The solution a two variable system of equations may be represented by _______.

an ordered pair (x, y)