, Lecture 1 notes
Matrixes
↓
of
a matrix is a
rectangular/square array real no s.
arranged in rows & columns
Order : Notation :
* count columns and rows * always use capital letters to denote matrixes
write first * always use little letters inside matrix
* always rows
*a
* Write down order/dimension aiz
column ro com is
eg) a =
(2 3)
eg)
(aa sees)
A
A =
22x33 =
row column s
Transpose a matrix :
↳
swapping the columns and rows Terminology :
↳ denoted as A * Vector >
-
When there is only one
column /row
A : (2 = 3) c =
(3) ↳ Row vector (124) 1X3
:.
2x3 .:. 3x1
↳ Column rector ( !)
d ↳ 3x1
A :
(3) C' = ( - 325) #Scalar -> a
single number
eg)4
.: 3x2 : 1x 3
Identity matrix
/ Matrixes of & columns
·
Adding Subtracting * same amt rows
2x2 or 3x3 or 4x4 etc .
)
↳ can only add/subtract matrixes with SAME order
↓
↳ if order not same > undefined
and
-
has I's in
digonal
zeros everywhere else
(0)
2x2
1) )
343
+
2) [3) (23)
(· )(ii)
-
undefined
(
=
:
Corder not same)
Matrixes
↓
of
a matrix is a
rectangular/square array real no s.
arranged in rows & columns
Order : Notation :
* count columns and rows * always use capital letters to denote matrixes
write first * always use little letters inside matrix
* always rows
*a
* Write down order/dimension aiz
column ro com is
eg) a =
(2 3)
eg)
(aa sees)
A
A =
22x33 =
row column s
Transpose a matrix :
↳
swapping the columns and rows Terminology :
↳ denoted as A * Vector >
-
When there is only one
column /row
A : (2 = 3) c =
(3) ↳ Row vector (124) 1X3
:.
2x3 .:. 3x1
↳ Column rector ( !)
d ↳ 3x1
A :
(3) C' = ( - 325) #Scalar -> a
single number
eg)4
.: 3x2 : 1x 3
Identity matrix
/ Matrixes of & columns
·
Adding Subtracting * same amt rows
2x2 or 3x3 or 4x4 etc .
)
↳ can only add/subtract matrixes with SAME order
↓
↳ if order not same > undefined
and
-
has I's in
digonal
zeros everywhere else
(0)
2x2
1) )
343
+
2) [3) (23)
(· )(ii)
-
undefined
(
=
:
Corder not same)
