Linear Algebra - Revision history

76.90.99.69 at 01:49, 8 April 2019

76.90.99.69 — Mon, 08 Apr 2019 01:49:41 GMT

← Older revision		Revision as of 01:49, 8 April 2019
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	7bbbb7777777777777777777777777777777777777777777		7bbbb7777777777777777777777777777777777777777777
	ffffffffffffffffffffffffffffffffffffffffffffffff		ffffffffffffffffffffffffffffffffffffffffffffffff
-	~~ffffffffffffffffffffffffffffffffffffffffffffffff~~	+	7777777777777777777777777777bbbbbbbbb77777777777
-	~~ffffffffffffffffffffffffffffffffffffffffffffddff~~	+
	ffffffffffffffffffffffffffffffffffffffffffffddff		ffffffffffffffffffffffffffffffffffffffffffffddff
		+	7777777777777777bbbbb777777777777777777777ffddff
	000000000000000000000000000000000000000000000000		000000000000000000000000000000000000000000000000
	fffff99f9fff9ff99f9f9fffffffffffffffffffffffffff		fffff99f9fff9ff99f9f9fffffffffffffffffffffffffff
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	.6666...........................................		.6666...........................................
	................................................		................................................
-	.....................................~~...........~~	+	............................999999999...........
-	~~............................................cc~~..	+
	............................................cc..		............................................cc..
		+	................bbbbb.......................cc..
	................................................		................................................
	................................................		................................................
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-		+	a sub ij
-		+	a sub ij
	note1		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
	Main LinearAlg1		Main LinearAlg1

76.90.99.69 at 06:24, 6 April 2019

76.90.99.69 — Sat, 06 Apr 2019 06:24:25 GMT

← Older revision		Revision as of 06:24, 6 April 2019
Line 24:		Line 24:
	ffffffffffffffffffffffffffffffffffffffffffffffff		ffffffffffffffffffffffffffffffffffffffffffffffff
	ffffffffffffffffffffffffffffffffffffffffffffffff		ffffffffffffffffffffffffffffffffffffffffffffffff
-	~~ffffffffffffffffffffffffffffffffffffffffffffffff~~	+	ffffffffffffffffffffffffffffffffffffffffffffddff
-	~~ffffffffffffffffffffffffffffffffffffffffffffffff~~	+	ffffffffffffffffffffffffffffffffffffffffffffddff
	000000000000000000000000000000000000000000000000		000000000000000000000000000000000000000000000000
	fffff99f9fff9ff99f9f9fffffffffffffffffffffffffff		fffff99f9fff9ff99f9f9fffffffffffffffffffffffffff
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	................................................		................................................
	................................................		................................................
-	................................................	+	............................................cc..
-	................................................	+	............................................cc..
	................................................		................................................
	................................................		................................................
Line 88:		Line 88:


-		+	Main LinearAlg1
-		+	Main LinearAlg1

76.90.99.69 at 01:51, 6 April 2019

76.90.99.69 — Sat, 06 Apr 2019 01:51:55 GMT

← Older revision		Revision as of 01:51, 6 April 2019
Line 78:		Line 78:
	L		L
	The linear map L		The linear map L
-	~~key~~	+	key1
	key		key

76.90.99.69: I think if a new page has the same name as an old one then you go to the old page

76.90.99.69 — Sat, 06 Apr 2019 01:46:52 GMT

I think if a new page has the same name as an old one then you go to the old page

← Older revision		Revision as of 01:46, 6 April 2019
Line 68:		Line 68:
	L and a sub ij		L and a sub ij
	L and a sub ij		L and a sub ij
-	j	+	the variable j
	range, associated variables, row or column, for j		range, associated variables, row or column, for j
-	i	+	the variable i
	range, associated variables, row or column, for i		range, associated variables, row or column, for i
	v j and w i		v j and w i

76.90.99.69 at 01:44, 6 April 2019

76.90.99.69 — Sat, 06 Apr 2019 01:44:24 GMT

← Older revision		Revision as of 01:44, 6 April 2019
Line 72:		Line 72:
	i		i
	range, associated variables, row or column, for 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

76.90.99.69 at 01:43, 6 April 2019

76.90.99.69 — Sat, 06 Apr 2019 01:43:07 GMT

← Older revision		Revision as of 01:43, 6 April 2019
Line 84:		Line 84:


-	~~note~~	+	note1
	about this horizontal line notation		about this horizontal line notation

76.90.99.69 at 01:41, 6 April 2019

76.90.99.69 — Sat, 06 Apr 2019 01:41:03 GMT

← Older revision		Revision as of 01:41, 6 April 2019
Line 67:		Line 67:
	Used to define matrix rep of a linear map		Used to define matrix rep of a linear map
	L and a sub ij		L and a sub ij
-		+	L and a sub ij
	j		j
-		+	range, associated variables, row or column, for j
	i		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
Line 77:		Line 77:

	L		L
-		+	The linear map L
	key		key
	key		key

76.90.99.69 at 01:27, 6 April 2019

76.90.99.69 — Sat, 06 Apr 2019 01:27:54 GMT

← Older revision		Revision as of 01:27, 6 April 2019
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	..............................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 sub ij		L and a sub ij

76.90.99.69: I don't think we can write a_{ij} in the title of a page

76.90.99.69 — Sat, 06 Apr 2019 01:13:40 GMT

I don't think we can write a_{ij} in the title of a page

← Older revision		Revision as of 01:13, 6 April 2019
Line 66:		Line 66:
	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

	j		j

76.90.99.69: Should've been a main page for the linear algebra portal but instead wrote a page about the matrix representation of a linear map.

76.90.99.69 — Sat, 06 Apr 2019 00:43:58 GMT

Should've been a main page for the linear algebra portal but instead wrote a page about the matrix representation of a linear map.

New page

<ppimage>
fffff99fffffff99fffff99999ffffffffffffffffffffff
ff9ff9ffff9ffff9f999f9ffffff999fffffffffffffffff
ff9ff9f99f9ffff9ffffff9fffff9f9ffffff99f9f9fffff
ff9ff9ff9f9ffff9f999fff9ffff9f9fffffff9f9f9fffff
ff99f9ff9f9f9ff9ffffff9fffff999f9fff9f9f9f9f9fff
fffff99ff9ffff99fffff9ffff9fff9ffffffff9f9ffffff
ffffffffffff9ffffffff99999ffffff9fff9fffffff9fff
fffffffffff99fffffffffffff9fffff99f99fffffff99ff
ffffffffffffffffffffffffff99ffffffffffffffffffff
7bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb7
ff4fffffffffffffffffffffffffffffffffffffffffffff
7bbbb77777777777777777777777bbbbbbbbb77777777777
ffffffffffffffffffffffffffffffffffffffffffffffff
77777777777bb7777777777777777777777bb77777777777
ffffffffffffffffffffffffffffffffffffffffffffffff
77777777777777777777777777bb7777bb7777777777bb77
ffffffffffffffffffffffffffffffffffffffffffffffff
7777777bbbbbb777777777777777777777777bbbbbbbbb77
ffffffffffffffffffffffffffffffffffffffffffffffff
7777777bbbbbb77777777777777777777777777777777777
ffffffffffffffffffffffffffffffffffffffffffffffff
7bbbb7777777777777777777777777777777777777777777
ffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffff
000000000000000000000000000000000000000000000000
fffff99f9fff9ff99f9f9fffffffffffffffffffffffffff
f9ff9f9f9ffff9ff9f9f9fffffffffcffffccfcfcfffffff
f9ffff9f9f999f9f9f9f9fffffffffcfcfcfcfcfcfffffff
f99f9ff9fffff9fff9f9ffffffffffccffccfffcffffffff
ffffffffffff9fffffffffffffffffcfcffccfccffffffff
................................................
................................................
................................................
................................................
................................................
................................................
................................................
................................................
................................................
.0000000000000000000000000000000000000000000000.
..a.............................................
.1111.......................111111111...........
................................................
...........22......................22...........
................................................
..........................33....33..........33..
................................................
.......444444........................444444444..
................................................
.......555555...................................
................................................
.6666...........................................
................................................
................................................
................................................
................................................
................................................
................................................
..............................77777777777.......
..............................77777777777.......
..............................77777777777.......
..............................77777777777.......
L(v_j) = \sum_i a_{ij} w_i
Used to define matrix rep of a linear map
L and a_{ij}

j

i

v_j and w_i
These are basis vectors, emphasis on the relation between them
v_j

L

key
key

note
about this horizontal line notation

</ppimage>