Transcript lesson_matrices

MATRICES MATTER!
What
is organize
a Matrix?
A Matrix allows
you to
data from a
chart of any kind.
67.9
37.4
11.3
5.6
68.7
31.7
13.0
9.1
2005-2006 Season
Basketball Statistics
Pts /
Game
Rebounds/
Game
Assists/
Game
Steals/
Game
University of Virginia
67.9
37.4
11.3
5.6
Virginia Tech
68.7
31.7
13.0
9.1
Types of Matrices
A matrix is described by the numbers of rows and columns it has,
specifically called the dimensions of the matrix. The number of
rows is stated first.
-4
2
0
1
3
-6
3X2
3X3
-3
0
4
1
9
2
3
8
6
0
2
2
3
5
7
1
9
3
6
7
0
2
4
1
5
4X4
PRACTICE!
State the dimension of
each matrix on the
overhead.
The Elements of a Matrix
An element of a matrix is each individual entry.
-4
2
0
1
3
-6
This
element is
in the
second row
and second
column.
This
element is
in the first
row and
third
column.
-3
0
4
1
9
2
3
8
6
0
2
2
3
5
7
1
9
3
6
7
0
2
4
1
5
This
element is
in the third
row and
first
column.
If two matrices have the same dimensions, you can add
them. If they do not have the same dimensions, it is
impossible to add them.
2
5
3
0
+
1
1
4
3
=
3 7
6 3
If two matrices have the same dimensions, you can also
subtract them. If they do not have the same dimensions, it
is impossible to subtract them.
2
5
4
3
-
1
1
3
0
=
1 1
4 3
When you perform Scalar Multiplication, you multiply any
matrix by a constant called a scalar.
3
2
5
The
scalar
4
3
6 12
=
15 9