NOTES 3.3. Flip Vocab. TSW Identify matrix terminology Add Matrices Subtract Matrices Multiply Matrices Enter matrix in a calculator. A matrix is described by its dimensions: rows X columns. Flip Vocab. one. one. equal.
Matrices are used to organize data and solve systems of equations.
A row matrix has _____ row.
A column matrix has _____ column
A square matrix has ________
number of rows and columns
A zero matrix has each
___________ as a _________
Equal matrices have the same
__________ and each element of
one matrix is equal to the
____________element of the
VocabA matrix is usually named using a capital letter.
The dimensions of matrix A are ____ X ____
Each value in a matrix is called an ___________
Find element A12 = ______
Find element A23 = ______
Matrices can only be added or subtracted if they have the same _______________
Teacher reminder: Show how to enter a matrix in TI83
Set corresponding locations equal !
x+3y = -13
3x+y = 1
y = -3
Solve the system!
x = 4
Add to isolate matrix X
Teachers might want to show how calc can add matrices!!
Product matrix will be outer #s: 1 x 2
Dimensions: A = ___x___ B=___x___
AB = ___x___
Inner #s must be same to multiply
Multiply matrices: Find AB
Also show mult on calc.!
Commutative property AB=BA
If the number of columns in the first matrix is not equal to the number of rows in the 2nd matrix, then the product of the two matrices is not defined, or
“Does not Exist” or “DNE”
This property is not always true for matrices.
If A= 2x3 and B= 3x4
You can find AB …..but not BA
Set matching locations equal and solve for w and z
2x2 times 2x2 Product matrix will be a 2 x 2
Z = -30
w = 7
Convert the matrix to equations and solve the system.
2x2 times 2x1 Product matrix will be a 2 x 1
Set matching locations equal
-3x+2y = 7
-5x+6y = 17