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08/27 Homework

Problem 1 - http://www.studyphysics.ca/newnotes/20/unit01_kinematicsdynamics/chp06_vectors/lesson25.htm
Problem 2 - https://lexique.netmath.ca/en/broken-line/
Problem 4 - https://www.khanacademy.org/math/geometry/hs-geo-analytic-geometry/hs-geo-dividing-segments/v/proving-triangle-medians-intersect-at-a-point
Problem 4 - https://math.stackexchange.com/questions/4015015/show-for-the-centroid-m-of-a-triangle-abc-that-vecom-frac13-vecoa-v
Problem 6 - https://byjus.com/physics/angular-velocity/

Clarifications for Discussion 09/02 Notes (Proving that the axis perpendicular to the principal axis is principal)

Envisioning the basis vectors (only used the image, not the info): https://math.stackexchange.com/questions/3290919/let-x-and-y-be-unit-vectors-in-mathbbrn-such-that-xy-and-x-y-are
Normalization (one vector): https://www.freetext.org/Introduction_to_Linear_Algebra/Basic_Vector_Operations/Normalization/
Orthogonal Diagonalization: https://math.emory.edu/~lchen41/teaching/2020_Fall/Section_8-2.pdf
Invertible Matrices: https://www.geeksforgeeks.org/check-if-a-matrix-is-invertible/ (this was also helpful: https://www.mathsisfun.com/algebra/matrix-inverse.html)
Identity Matrices: https://www.mathsisfun.com/algebra/matrix-inverse.html

My clarification: Clarification

HW Week #3

Problem 48 & 49: Modulus Basics; More Modulus Stuff
Problem 58: Roots of Unity Basics; More Roots of Unity Basics
Euler's formula: Euler and DeMoirve's Formula

HW Week #4

Problem 88: ; Upper and Lower Triangular Matrices
Problem 98: Properties of Determinants
Problem 111: Sinh and Cosh

HW Week #4

Problem 138: Cramer's Rule

HW Week #7

Problem 185: Ax = b is consistent

===== Homework =====

Homework Set (Week 1)

Only problems 1, 2, 3, 4, 5, 6, 7 are posted. Week 1 HW

Practice Quiz #2

Homework Set (Week 3)

HW Week #3

Practice Quiz #3

Practice Quiz Week #3

Homework Set (Week 4)

Practice Quiz #4

Practice Quiz #4 Edit: for number 2, we don't need to find the eigenvalues... we are just computing the determinants. The final answer would be the polynomial before solving it to get 0 and 1.

Homework Set (Week 5)

Homework Set (Week 5) - Updated

Practice Quiz #5

Sample Midterm #1

Homework Set (Week 7 - without 195)

Homework Set (Week 8 - Slightly Incomplete)

Homework Set (Week 8)

Practice Quiz #7