summaryrefslogtreecommitdiff
diff options
context:
space:
mode:
authorArchit Sangal2020-07-09 03:38:00 +0530
committerArchit Sangal2020-07-09 03:38:00 +0530
commitd55ea3bd90b05ab4ba731d822f347bcdbea67159 (patch)
tree5b024c5263cd31e997cb687ade419341ad21b6e4
parentcb8944b427c93bff78b9b4d4b172613135726ee1 (diff)
downloadFSF-mathematics-python-code-archive-d55ea3bd90b05ab4ba731d822f347bcdbea67159.tar.gz
FSF-mathematics-python-code-archive-d55ea3bd90b05ab4ba731d822f347bcdbea67159.tar.bz2
FSF-mathematics-python-code-archive-d55ea3bd90b05ab4ba731d822f347bcdbea67159.zip
updated README.md files and gif(s) added
-rw-r--r--FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/README.md34
-rw-r--r--FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file11.gifbin0 -> 2669469 bytes
-rw-r--r--FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file12.gifbin0 -> 14917563 bytes
-rw-r--r--FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file13.gifbin0 -> 4257387 bytes
-rw-r--r--FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file14.gifbin0 -> 28796385 bytes
-rw-r--r--FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file15.gifbin0 -> 16130920 bytes
-rw-r--r--FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file16.gifbin0 -> 15623398 bytes
-rw-r--r--FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file17.gifbin0 -> 15546537 bytes
-rw-r--r--FSF-2020/linear-algebra/linear-transformations/The-Rank-Nullity-Theorem/README.md25
-rw-r--r--FSF-2020/linear-algebra/linear-transformations/The-Rank-Nullity-Theorem/file2.gifbin0 -> 34430418 bytes
10 files changed, 19 insertions, 40 deletions
diff --git a/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/README.md b/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/README.md
index c286736..d21c4dc 100644
--- a/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/README.md
+++ b/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/README.md
@@ -3,28 +3,28 @@ My Github Account : <a href="https://github.com/architsangal">architsangal</a>
<br/></br>
## Sub-Topics Covered:
-+ Linear Transformations (Linear Maps)
++ The Four Fundamental Subspaces
-#### Video 1: Visually understanding linear transformation(using grid)
-![GIF1](file12.gif)
+#### Video 1: Video 1: Writing System of linear equations in form of Ax=b
+![GIF1](file11.gif)
-#### Video 2: Linear Transformation when form 1 is given
-![GIF2](file11.gif)
+#### Video 2: Column Space is same as the image of Linear Transformation
+![GIF2](file14.gif)
-#### Video 3: Matrix Representation Of Linear Transformation
-![GIF3](file9.gif)
+#### Video 3: Existance of Solution w.r.t. vector b
+![GIF3](file17.gif)
-#### Video 4: Understand Linear Transformations visually
-![GIF4](file13.gif)
+#### Video 4: Null Space (Visually)
+![GIF4](file12.gif)
-#### Video 5: Uniform Scaling
-![GIF5](file14.gif)
+#### Video 5: Definition 1 is equivalent to Definition 2
+![GIF5](file13.gif)
-#### Fig.1 Horizontal Shear
-![GIF6](file6_Horizontal_Shear_gif.gif)
+#### Video 6: Relation between Row Space and Null Space
+![GIF6](file16.gif)
-#### Fig.2 Vertical Shear
-![GIF7](file7_Vertical_Shear_gif.gif)
+#### Fig. 1 Naming of the left null space
+![GIF7](file10_Left_Null_Space_pSv8iio_d5Sy9qS.gif)
-#### Video 6: Rotation by an angle of in anticlockwise direction
-![GIF8](file10.gif) \ No newline at end of file
+#### Video 7: Left Null Space(Visually)
+![GIF8](file15.gif) \ No newline at end of file
diff --git a/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file11.gif b/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file11.gif
new file mode 100644
index 0000000..8f74202
--- /dev/null
+++ b/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file11.gif
Binary files differ
diff --git a/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file12.gif b/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file12.gif
new file mode 100644
index 0000000..aa7403b
--- /dev/null
+++ b/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file12.gif
Binary files differ
diff --git a/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file13.gif b/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file13.gif
new file mode 100644
index 0000000..34b54c7
--- /dev/null
+++ b/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file13.gif
Binary files differ
diff --git a/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file14.gif b/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file14.gif
new file mode 100644
index 0000000..b77791b
--- /dev/null
+++ b/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file14.gif
Binary files differ
diff --git a/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file15.gif b/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file15.gif
new file mode 100644
index 0000000..8bb24bf
--- /dev/null
+++ b/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file15.gif
Binary files differ
diff --git a/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file16.gif b/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file16.gif
new file mode 100644
index 0000000..87e0026
--- /dev/null
+++ b/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file16.gif
Binary files differ
diff --git a/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file17.gif b/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file17.gif
new file mode 100644
index 0000000..eec819a
--- /dev/null
+++ b/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file17.gif
Binary files differ
diff --git a/FSF-2020/linear-algebra/linear-transformations/The-Rank-Nullity-Theorem/README.md b/FSF-2020/linear-algebra/linear-transformations/The-Rank-Nullity-Theorem/README.md
index c286736..ee1a337 100644
--- a/FSF-2020/linear-algebra/linear-transformations/The-Rank-Nullity-Theorem/README.md
+++ b/FSF-2020/linear-algebra/linear-transformations/The-Rank-Nullity-Theorem/README.md
@@ -3,28 +3,7 @@ My Github Account : <a href="https://github.com/architsangal">architsangal</a>
<br/></br>
## Sub-Topics Covered:
-+ Linear Transformations (Linear Maps)
++ The Rank-Nullity Theorem
#### Video 1: Visually understanding linear transformation(using grid)
-![GIF1](file12.gif)
-
-#### Video 2: Linear Transformation when form 1 is given
-![GIF2](file11.gif)
-
-#### Video 3: Matrix Representation Of Linear Transformation
-![GIF3](file9.gif)
-
-#### Video 4: Understand Linear Transformations visually
-![GIF4](file13.gif)
-
-#### Video 5: Uniform Scaling
-![GIF5](file14.gif)
-
-#### Fig.1 Horizontal Shear
-![GIF6](file6_Horizontal_Shear_gif.gif)
-
-#### Fig.2 Vertical Shear
-![GIF7](file7_Vertical_Shear_gif.gif)
-
-#### Video 6: Rotation by an angle of in anticlockwise direction
-![GIF8](file10.gif) \ No newline at end of file
+![GIF1](file2.gif) \ No newline at end of file
diff --git a/FSF-2020/linear-algebra/linear-transformations/The-Rank-Nullity-Theorem/file2.gif b/FSF-2020/linear-algebra/linear-transformations/The-Rank-Nullity-Theorem/file2.gif
new file mode 100644
index 0000000..46efc66
--- /dev/null
+++ b/FSF-2020/linear-algebra/linear-transformations/The-Rank-Nullity-Theorem/file2.gif
Binary files differ