Matrix Power - MEXT Scholarship Exam Solution - 2020 College of Technology Mathematics

Problem 2(3) - 2020 College of Technology Mathematics - MEXT Scholarship Exam Solution
linear algebra
matrices
matrix addition
matric product
matrix multiplication
scalar multiplication
identity matrix
matrix equation
Matrix Power
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This problem appears in the 2020 College of Technology Mathematics questionnaire of the Qualifying Examinations for Applicants for Japanese Government (MEXT) Scholarships for College of Technology Students. The official website that posted the answer key and the original questions is linked below.
https://www.studyinjapan.go.jp/en/planning/scholarship/application/examination/
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Music: ""Mozart - Eine Kleine Nachtmusik allegro by Advent Chamber Orchestra is licensed under a Attribution-Share Alike 3.0 United States License."" https://freemusicarchive.org/music/Advent_Chamber_Orchestra/Selections_from_the_2005-2006_Season/Advent_Chamber_Orchestra_-_04_-_Mozart_-_A_Little_Night_Music_allegro
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