notes

commit 4df9d61b008b4060625c2d64cff1108257a1cbd2
parent 0a121358380dd061588f4d96af1f7115bfe9df49
Author: Andrew <andrewlaack1@gmail.com>
Date:   Mon, 29 Jul 2024 15:23:52 -0500

Took some notes

Diffstat:
M
Covariance.md
 | 
2
+-
A
DiagonalMatrices.md
 | 
10
++++++++++
M
LinearAlgebra.md
 | 
3
+++
A
Rotation.md
 | 
18
++++++++++++++++++
A
StandardMatrix.md
 | 
8
++++++++
M
StatisticsAndProbability.md
 | 
2
++

6 files changed, 42 insertions(+), 1 deletion(-)
diff --git a/Covariance.md b/Covariance.md
@@ -1,4 +1,4 @@
-:stats:
+:stats: :prob:
 # Covariance 
 
 Stats D2
diff --git a/DiagonalMatrices.md b/DiagonalMatrices.md
@@ -0,0 +1,10 @@
+:lin-alg
+# Diagonal Matrices
+
+Khan U2
+
+## Notes
+
+**Definition:** Diagonal matricies are matricies that have zeroes in all positions except for the diagonal from 1,1 to m,n.
+
+Diagonal matricies are the matricies that represent linear transformations where we are multiplying each axis component by some value and not combining different components together.
diff --git a/LinearAlgebra.md b/LinearAlgebra.md
@@ -49,3 +49,6 @@ Khan Unit 2:
 	- [[Image.md]]
 	- [[Preimage.md]]
 	- [[Kernel.md]]
+	- [[DiagonalMatrices.md]]
+	- [[Rotation.md]]
+	- [[StandardMatrix.md]]
diff --git a/Rotation.md b/Rotation.md
@@ -0,0 +1,18 @@
+:lin-alg:
+# Rotation
+
+Khan U2
+
+## Notes
+
+**Definition:** A rotation is a linear transformation (assuming the rotation axis passes through the zero vector) that rotates about some axis theta degrees **counter clockwise**.
+
+## Create Matrix
+
+To create a matrix to represent a rotation do the following:
+
+1. Start with identity matrix
+2. Calculate each individual basis vector under the rotation we want (use trig)
+3. Aggregate the results into a final matrix where each column is the result of the basis vector transformation 
+
+This is the same way we normally create the [[StandardMatrix.md]] of a L.T. for other transformations.
diff --git a/StandardMatrix.md b/StandardMatrix.md
@@ -0,0 +1,8 @@
+:lin-alg:
+# Standard Matrix
+
+Khan U2
+
+## Notes
+
+**Definition:** The standard matrix of a linear transformation is the matrix we multiply the input of the function by to obtain the mapping of the input.
diff --git a/StatisticsAndProbability.md b/StatisticsAndProbability.md
@@ -82,3 +82,5 @@ L9:
 	- [[JointDensityFunction.md]]
 L10:
 	- [[DerivedDistribution.md]]
+L11:	
+	- [[Covariance.md]]