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| author | Archit Sangal | 2020-07-05 12:53:03 +0530 |
|---|---|---|
| committer | Archit Sangal | 2020-07-05 12:53:03 +0530 |
| commit | 747f68c91279c9915382f0013ddc80fa67bd6d09 (patch) | |
| tree | 0df35f12176422531e51361e21ceb35983b61c43 /FSF-2020/linear-algebra | |
| parent | ad41877105cce82da726387083f4c63deb4f4f7c (diff) | |
| download | FSF-mathematics-python-code-archive-747f68c91279c9915382f0013ddc80fa67bd6d09.tar.gz FSF-mathematics-python-code-archive-747f68c91279c9915382f0013ddc80fa67bd6d09.tar.bz2 FSF-mathematics-python-code-archive-747f68c91279c9915382f0013ddc80fa67bd6d09.zip | |
Video 2 on projections added
Diffstat (limited to 'FSF-2020/linear-algebra')
| -rwxr-xr-x | FSF-2020/linear-algebra/linear-transformations/Gram Schmidt Orthonormalization Process/file1_projections.py | 16 |
1 files changed, 5 insertions, 11 deletions
diff --git a/FSF-2020/linear-algebra/linear-transformations/Gram Schmidt Orthonormalization Process/file1_projections.py b/FSF-2020/linear-algebra/linear-transformations/Gram Schmidt Orthonormalization Process/file1_projections.py index 814fa57..dd4b8d4 100755 --- a/FSF-2020/linear-algebra/linear-transformations/Gram Schmidt Orthonormalization Process/file1_projections.py +++ b/FSF-2020/linear-algebra/linear-transformations/Gram Schmidt Orthonormalization Process/file1_projections.py @@ -23,10 +23,10 @@ class Projections(GraphScene): arrow_b.set_color(DARK_BLUE) self.play(ShowCreation(arrow_a), ShowCreation(arrow_b)) - text = TextMobject(r"Let there be 2 vectors $a$ and $b$") + text = TextMobject(r"Consider 2 linearly independent vectors $a$ and $b$") text.set_color(DARK_BLUE) - text.scale(0.75) - text.move_to(2*YTD*DOWN+4*XTD*LEFT) + text.scale(0.6) + text.move_to(3*YTD*UP+5*XTD*LEFT) text_a = TextMobject("a") text_a.move_to(0.4*YTD*DOWN+3*XTD*RIGHT) text_a.set_color(DARK_BLUE) @@ -51,7 +51,7 @@ class Projections(GraphScene): self.play(FadeOut(text), Transform(arrow_b_copy,arrow_p), FadeOut(text_a), FadeOut(text_b)) text = TextMobject(r"$p$ is the projection of $b$ on $a$") text.set_color(GOLD_E) - text.move_to(2*DOWN+3*LEFT) + text.move_to(3*UP+4*LEFT) text.scale(0.8) self.play(Write(text),Write(text_p)) self.wait() @@ -76,10 +76,4 @@ class Projections(GraphScene): self.play(Write(text)) self.wait(2) - self.play(FadeOut(self.axes), FadeOut(arrow_a), FadeOut(arrow_b), FadeOut(arrow_b_copy), FadeOut(arrow_o), FadeOut(text_a), FadeOut(text_b), FadeOut(text_o), FadeOut(text_p), FadeOut(text)) - - text = TextMobject(r"Therefore, unit vectors of $b-p$ and $a$ are orthonormal to each other") - text.scale(0.75) - self.play(Write(text)) - self.wait(2) - self.play(FadeOut(text))
\ No newline at end of file + self.play(FadeOut(self.axes), FadeOut(arrow_a), FadeOut(arrow_b), FadeOut(arrow_b_copy), FadeOut(arrow_o), FadeOut(text_a), FadeOut(text_b), FadeOut(text_o), FadeOut(text_p), FadeOut(text))
\ No newline at end of file |