(Should've been a main page for the linear algebra portal but instead wrote a page about the matrix representation of a linear map.)
 
(8 intermediate revisions not shown)
Line 23: Line 23:
7bbbb7777777777777777777777777777777777777777777
7bbbb7777777777777777777777777777777777777777777
ffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffff
-
ffffffffffffffffffffffffffffffffffffffffffffffff
+
7777777777777777777777777777bbbbbbbbb77777777777
-
ffffffffffffffffffffffffffffffffffffffffffffffff
+
ffffffffffffffffffffffffffffffffffffffffffffddff
-
ffffffffffffffffffffffffffffffffffffffffffffffff
+
7777777777777777bbbbb777777777777777777777ffddff
000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000
fffff99f9fff9ff99f9f9fffffffffffffffffffffffffff
fffff99f9fff9ff99f9f9fffffffffffffffffffffffffff
Line 55: Line 55:
.6666...........................................
.6666...........................................
................................................
................................................
-
................................................
+
............................999999999...........
-
................................................
+
............................................cc..
-
................................................
+
................bbbbb.......................cc..
................................................
................................................
................................................
................................................
Line 64: Line 64:
..............................77777777777.......
..............................77777777777.......
..............................77777777777.......
..............................77777777777.......
-
L(v_j) = \sum_i a_{ij} w_i
+
L(v j) = sum i a ij w i
Used to define matrix rep of a linear map
Used to define matrix rep of a linear map
-
L and a_{ij}
+
L and a sub ij
-
 
+
L and a sub ij
-
j
+
the variable j
-
 
+
range, associated variables, row or column, for j
-
i
+
the variable i
-
 
+
range, associated variables, row or column, for i
-
v_j and w_i
+
v j and w i
These are basis vectors, emphasis on the relation between them
These are basis vectors, emphasis on the relation between them
-
v_j
+
v j
L
L
-
 
+
The linear map L
-
key
+
key1
key
key
-
 
+
a sub ij
-
 
+
a sub ij
-
note
+
note1
about this horizontal line notation
about this horizontal line notation
-
 
+
linear combination in terms of basis is unique
-
 
+
linear combination in terms of basis is unique
-
 
+
Main LinearAlg1
-
 
+
Main LinearAlg1

Current revision as of 01:49, 8 April 2019



Draw here

Refresh page
About