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diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Straight_Line_through_Origin.py b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Straight_Line_through_Origin.py
new file mode 100644
index 0000000..5790d2e
--- /dev/null
+++ b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Straight_Line_through_Origin.py
@@ -0,0 +1,48 @@
+from manimlib.imports import *

+from scipy import exp, sin, log,tan,cos

+class Straight_Line(GraphScene):

+    CONFIG = {

+        "x_min" : -4,

+        "x_max" : 4,

+        "y_min" : -4,

+        "y_max" : 4,

+        "y_tick_frequency" : 1, 

+        "x_tick_frequency" : 1, 

+        "x_labeled_nums" : list(np.arange(-4,5,1)),

+        "y_labeled_nums" : list(np.arange(-4,5,1)),

+        "graph_origin" : ORIGIN+0.7*DOWN,

+        "axes_color" : GREY,

+        "x_axis_width": 6,

+        "y_axis_height":6,

+    }   

+    def construct(self):

+        self.setup_axes(animate=True)

+        line_1 = self.get_graph(lambda x : x, x_min=-3,x_max=3,color=YELLOW)

+        self.play(ShowCreation(line_1))

+        text1 = TextMobject("ax + by = 0",color=BLUE_B)

+        text1.shift(3*RIGHT+2*UP)

+        text1.scale(0.65)

+        dot = Dot(color=BLUE_B).shift(0.7*DOWN)

+        dot.scale(1.3)

+        self.play(ShowCreation(dot))

+        text2 = TextMobject("Line passing through the origin")

+        text2.scale(0.7)

+        text2.shift(3.5*UP)

+        self.play(ShowCreation(text1),ShowCreation(text2))

+        self.wait(1)

+        self.play(FadeOut(line_1),FadeOut(text2),FadeOut(text1))

+        text4=TextMobject("Line not passing through the origin")

+        text4.scale(0.7)

+        text4.shift(3.5*UP)

+        self.play(ShowCreation(text4))

+        

+        line_2 = self.get_graph(lambda x : 2.5*x +1, x_min = -2, x_max=1, color = RED)

+        text3 = TextMobject(r"ax + by $\neq 0$",color=BLUE_B)

+        text3.scale(0.65)

+        self.play(ShowCreation(line_2))

+        text3.shift(1.5*RIGHT+2.2*UP)

+        self.play(ShowCreation(text3))

+        self.wait(1)

+        

+    

+        
\ No newline at end of file
diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Subspace_Example.py b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Subspace_Example.py
new file mode 100644
index 0000000..ada173e
--- /dev/null
+++ b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Subspace_Example.py
@@ -0,0 +1,82 @@
+from manimlib.imports import *

+class Subspace_Example(Scene):

+    def construct(self):

+        sq = Square(side = 2, color=BLACK).shift(2*LEFT)

+        sq.set_fill(color=RED,opacity=350)

+        line1=Line(color=BLACK).shift(2*LEFT)

+        line1.rotate(np.pi/2)

+        line2=Line(color=BLACK).shift(2.5*LEFT+0.5*UP)

+        line2.scale(0.5)

+        line3=Line(color=BLACK).shift(+1.5*LEFT)

+        line3.scale(0.5)

+        a1=TextMobject(r"$a_1$",color=BLACK).scale(0.5).shift(3.4*LEFT+0.7*UP)

+        a2=TextMobject(r"$a_2$",color=BLACK).scale(0.5).shift(3.4*LEFT+0.3*DOWN)

+        a3=TextMobject(r"$a_3$",color=BLACK).scale(0.5).shift(0.7*LEFT+0.5*DOWN)

+        a4=TextMobject(r"$a_4$",color=BLACK).scale(0.5).shift(0.7*LEFT+0.5*UP)

+        big_rect=Rectangle().scale(3).shift(0.5*DOWN)

+        big_rect.set_fill(color=GREY,opacity=350)

+        vec_space=TextMobject("$Vector Space$").scale(0.77).shift(4.5*RIGHT+3.5*UP)

+        sub=TextMobject(r"$Subspace$",color=BLACK).scale(0.77).shift(3.8*RIGHT+2*UP)

+        self.play(ShowCreation(vec_space))

+        self.play(ShowCreation(big_rect),ShowCreation(sub))

+        self.play(ShowCreation(sq),ShowCreation(line1),ShowCreation(line2),ShowCreation(line3),ShowCreation(a1),ShowCreation(a2),ShowCreation(a3),ShowCreation(a4))

+        rec = Rectangle(color=BLACK).scale(0.5).shift(1*RIGHT)

+        rec.rotate(np.pi/2)

+        rec.set_fill(color=BLUE,opacity=350)

+        line4=Line(color=BLACK).shift(1*RIGHT).rotate(np.pi/2)

+        line5=Line(color=BLACK).scale(0.25).shift(0.75*RIGHT)

+        line6=Line(color=BLACK).scale(0.25).shift(0.5*DOWN+1.25*RIGHT)

+        b1=TextMobject(r"$b_1$",color=BLACK).scale(0.5).shift(0.3*RIGHT+0.5*UP)

+        b2=TextMobject(r"$b_2$",color=BLACK).scale(0.5).shift(0.3*RIGHT+0.5*DOWN)

+        b3=TextMobject(r"$b_3$",color=BLACK).scale(0.5).shift(1.67*RIGHT+0.8*DOWN)

+        b4=TextMobject(r"$b_4$",color=BLACK).scale(0.5).shift(1.67*RIGHT+0.5*UP)

+        self.play(ShowCreation(rec),ShowCreation(line4),ShowCreation(line5),ShowCreation(line6),ShowCreation(b1),ShowCreation(b2),ShowCreation(b3),ShowCreation(b4))

+        self.wait(1)

+        text1=TextMobject(r"$a_1 + a_2 = a_3 + a_4$",color=BLACK).scale(0.5).shift(2*LEFT+1.5*DOWN)

+        text2=TextMobject(r"$b_1 + b_2 = b_3 + b_4$",color=BLACK).scale(0.5).shift(1.5*RIGHT+1.5*DOWN)

+        self.play(ShowCreation(text1),ShowCreation(text2))

+        self.wait(3)

+        self.play(FadeOut(text1),FadeOut(text2))

+        rec.shift(3*LEFT+2.01*DOWN)

+        line4.shift(3*LEFT+2*DOWN)

+        line5.shift(3*LEFT+2*DOWN)

+        line6.shift(3*LEFT+2*DOWN)

+        b1.shift(3.1*LEFT+2.1*DOWN)

+        b2.shift(3.1*LEFT+2.1*DOWN)

+        b3.shift(2.9*LEFT+2*DOWN)

+        b4.shift(2.9*LEFT+2.3*DOWN)

+        self.play(ShowCreation(rec),ShowCreation(line4),ShowCreation(line5),ShowCreation(line6),ShowCreation(b1),ShowCreation(b2),ShowCreation(b3),ShowCreation(b4))

+        self.wait(2)

+        

+        text3=TextMobject(r"$(a_1 + a_2) + (b_1 + b_2) = (a_3 + a_4) + (b_3 + b_4)$",color=BLACK).scale(0.5).shift(2.5*RIGHT+0.5*DOWN)

+        text3=TextMobject(r"$(a_1 + a_2) + (b_1 + b_2) = (a_3 + a_4) + (b_3 + b_4)$",color=BLACK).scale(0.5).shift(2.5*RIGHT+0.5*DOWN)

+        text4=TextMobject("Vector Addition",color=BLACK).scale(0.8).shift(2.5*RIGHT+0.5*UP)

+        self.play(ShowCreation(text3),ShowCreation(text4))

+        self.wait(3)

+        rec.set_fill(color=GREY,opacity=350)

+        self.play(FadeOut(text3),FadeOut(text4),FadeOut(line4),FadeOut(line5),FadeOut(line6),FadeOut(rec),FadeOut(b4),FadeOut(b3),FadeOut(b2),FadeOut(b1))

+        sq1=Square(color=BLACK).scale(0.5).shift(1.5*LEFT+1.5*UP)

+        sq1.set_fill(color=RED,opacity=350)

+        sq2=Square(color=BLACK).scale(0.5).shift(1.5*LEFT+1.5*DOWN)

+        sq2.set_fill(color=RED,opacity=350)

+        rec1=Rectangle(height=0.5,width=1,color=BLACK).shift(2.5*LEFT+1.2*UP)

+        rec1.set_fill(color=RED,opacity=350)

+        rec2=Rectangle(height=1.5,width=1,color=BLACK)

+        rec2.set_fill(color=RED,opacity=350).shift(2.5*LEFT+1.5*DOWN)

+        self.play(ShowCreation(sq1),ShowCreation(sq2),ShowCreation(rec1),ShowCreation(rec2))

+        a=TextMobject(r"$a_1$",color=BLACK).scale(0.5).shift(3.4*LEFT+1.2*UP)

+        b=TextMobject(r"$a_2$",color=BLACK).scale(0.5).shift(3.4*LEFT+1.4*DOWN)

+        c=TextMobject(r"$a_3$",color=BLACK).scale(0.5).shift(0.7*LEFT+1.4*DOWN)

+        d=TextMobject(r"$a_4$",color=BLACK).scale(0.5).shift(0.7*LEFT+1.4*UP)

+        self.play(ShowCreation(a),ShowCreation(b),ShowCreation(c),ShowCreation(d))

+        self.wait(2.3)

+        text4=TextMobject("Scalar Multiplication",color=BLACK).scale(0.8).shift(2.5*RIGHT+0.5*UP)

+        text5=TextMobject(r"$\implies 2(a_1 + a_2) = 2(a_3 + a_4)$",color=BLACK).scale(0.5).shift(2*RIGHT+0.5*DOWN)

+        text6=TextMobject(r"$(a_1 + a_1) + (a_2 + a_2) = (a_3 + a_3) + (a_4 +a_4)$",color=BLACK).scale(0.5).shift(2.5*RIGHT)

+        self.play(ShowCreation(text4),ShowCreation(text5),ShowCreation(text6))

+        self.wait(3)

+

+        

+

+

+

diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Unit_Circle.py b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Unit_Circle.py
new file mode 100644
index 0000000..2973f08
--- /dev/null
+++ b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Unit_Circle.py
@@ -0,0 +1,68 @@
+from manimlib.imports import *

+import numpy as np

+import math

+

+class Unit_Circle(GraphScene):

+    CONFIG = {

+        "x_min" : -3,

+        "x_max" : 3,

+        "y_min" : -3,

+        "y_max" : 3,

+        "y_tick_frequency" : 1, 

+        "x_tick_frequency" : 1, 

+        "x_labeled_nums" : list(np.arange(-3,4,1)),

+        "y_labeled_nums" : list(np.arange(-3,4,1)),

+        "graph_origin" : ORIGIN,

+        "axes_color" : GREY,

+        "x_axis_width": 6,

+        "y_axis_height":6,

+    }   

+

+    def construct(self):

+        self.setup_axes(animate = True)

+        circle = Circle(radius=1,color=BLUE)

+        self.play(ShowCreation(circle))

+        dot1 = Dot(color=RED).scale(0.7)

+        dot1.shift(1*UP)

+        dot2 = Dot(color=RED).scale(0.7)

+        dot2.shift(1*LEFT)

+        dot3 = Dot(color=RED).scale(0.7)

+        dot3.shift(1*DOWN)

+        dot4 = Dot(color=RED).scale(0.7)

+        dot4.shift(1*RIGHT)

+        dot5= Dot(color=RED).scale(0.7)

+        dot6 = Dot(color=RED).scale(0.7)

+        dot5.shift(0.5*RIGHT+(math.sqrt(3)/2)*UP)

+        dot6.shift(0.5*LEFT+(math.sqrt(3)/2)*DOWN)

+        dot7 = Dot(color=RED).scale(0.7)

+        dot7.shift(math.sqrt(2)/2*RIGHT+math.sqrt(2)/2*UP)

+        dot8 = Dot(color=RED).scale(0.7)

+        dot8.shift(math.sqrt(2)/2*LEFT+math.sqrt(2)/2*UP)

+        dot9 = Dot(color=RED).scale(0.7)

+        dot9.shift(0.5*LEFT+(math.sqrt(3)/2)*UP)

+        dot10 = Dot(color=RED).scale(0.7)

+        dot10.shift(math.sqrt(3)/2*LEFT+0.5*UP)

+        dot11=Dot(color=RED).scale(0.7)

+        dot11.shift(math.sqrt(3)/2*RIGHT+0.5*UP)

+        dot12= Dot(color=RED).scale(0.7)

+        dot12.shift(math.sqrt(3)/2*LEFT+0.5*DOWN)

+        dot13=Dot(color=RED).scale(0.7)

+        dot13.shift(math.sqrt(2)/2*RIGHT+math.sqrt(2)/2*DOWN)

+        dot14=Dot(color=RED).scale(0.7)

+        dot14.shift(math.sqrt(2)/2*LEFT+math.sqrt(2)/2*DOWN)

+        dot15=Dot(color=RED).scale(0.7)

+        dot15.shift(math.sqrt(3)/2*RIGHT+0.5*DOWN)

+        dot16=Dot(color=RED).scale(0.7)

+        dot16.shift(0.5*RIGHT+(math.sqrt(3)/2)*DOWN)

+        self.play(ShowCreation(dot1),ShowCreation(dot2))

+        self.play(ShowCreation(dot3),ShowCreation(dot4))

+        self.play(ShowCreation(dot5),ShowCreation(dot6))

+        self.play(ShowCreation(dot7),ShowCreation(dot8))

+        self.play(ShowCreation(dot9),ShowCreation(dot10))

+        self.play(ShowCreation(dot11),ShowCreation(dot12))

+        self.play(ShowCreation(dot13),ShowCreation(dot14))

+        self.play(ShowCreation(dot15),ShowCreation(dot16))

+        self.wait(4)

+    

+

+