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Eigenvalues and Eigenvectors0/30 complete Β· 0%
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Eigenvalues and Eigenvectors

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Chapter 1 Β· Algebra
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EasyMediumDifficult
1.Eigenvalues and Eigenvectors
Easy
Finding eigenvalues
7 marks
Finding eigenvalues
7 marks
Eigenvalues and Eigenvectors question 1: Finding eigenvalues
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2.Eigenvalues and Eigenvectors
Easy
Checking an eigenvector
7 marks
Checking an eigenvector
7 marks
Eigenvalues and Eigenvectors question 2: Checking an eigenvector
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3.Eigenvalues and Eigenvectors
Easy
Finding eigenvectors
7 marks
Finding eigenvectors
7 marks
Eigenvalues and Eigenvectors question 3: Finding eigenvectors
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4.Eigenvalues and Eigenvectors
Easy
A triangular matrix
7 marks
A triangular matrix
7 marks
Eigenvalues and Eigenvectors question 4: A triangular matrix
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5.Eigenvalues and Eigenvectors
Easy
Eigenvalues of powers and inverses
7 marks
Eigenvalues of powers and inverses
7 marks
Eigenvalues and Eigenvectors question 5: Eigenvalues of powers and inverses
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6.Eigenvalues and Eigenvectors
Easy
Tomorrow’s weather
8 marks
Tomorrow’s weather
8 marks
Eigenvalues and Eigenvectors question 6: Tomorrow’s weather
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7.Eigenvalues and Eigenvectors
Easy
Brand loyalty
7 marks
Brand loyalty
7 marks
Eigenvalues and Eigenvectors question 7: Brand loyalty
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8.Eigenvalues and Eigenvectors
Easy
Diagonalising a matrix
9 marks
Diagonalising a matrix
9 marks
Eigenvalues and Eigenvectors question 8: Diagonalising a matrix
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9.Eigenvalues and Eigenvectors
Easy
Powers by diagonalisation
9 marks
Powers by diagonalisation
9 marks
Eigenvalues and Eigenvectors question 9: Powers by diagonalisation
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10.Eigenvalues and Eigenvectors
Easy
Rental cars in two cities
9 marks
Rental cars in two cities
9 marks
Eigenvalues and Eigenvectors question 10: Rental cars in two cities
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11.Eigenvalues and Eigenvectors
Medium
A bird population
9 marks
A bird population
9 marks
Eigenvalues and Eigenvectors question 11: A bird population
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12.Eigenvalues and Eigenvectors
Medium
A missing entry
8 marks
A missing entry
8 marks
Eigenvalues and Eigenvectors question 12: A missing entry
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13.Eigenvalues and Eigenvectors
Medium
Three activities at a sports centre
9 marks
Three activities at a sports centre
9 marks
Eigenvalues and Eigenvectors question 13: Three activities at a sports centre
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14.Eigenvalues and Eigenvectors
Medium
Foxes and rabbits
8 marks
Foxes and rabbits
8 marks
Eigenvalues and Eigenvectors question 14: Foxes and rabbits
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15.Eigenvalues and Eigenvectors
Medium
Which directions stay the same?
9 marks
Which directions stay the same?
9 marks
Eigenvalues and Eigenvectors question 15: Which directions stay the same?
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16.Eigenvalues and Eigenvectors
Medium
A formula for Fibonacci numbers
13 marks
A formula for Fibonacci numbers
13 marks
Eigenvalues and Eigenvectors question 16: A formula for Fibonacci numbers
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17.Eigenvalues and Eigenvectors
Medium
Electric cars
14 marks
Electric cars
14 marks
Eigenvalues and Eigenvectors question 17: Electric cars
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18.Eigenvalues and Eigenvectors
Medium
Mixing two tanks
14 marks
Mixing two tanks
14 marks
Eigenvalues and Eigenvectors question 18: Mixing two tanks
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19.Eigenvalues and Eigenvectors
Medium
Saving an owl population
14 marks
Saving an owl population
14 marks
Eigenvalues and Eigenvectors question 19: Saving an owl population
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20.Eigenvalues and Eigenvectors
Medium
Stretching a circle
12 marks
Stretching a circle
12 marks
Eigenvalues and Eigenvectors question 20: Stretching a circle
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21.Eigenvalues and Eigenvectors
Difficult
A bike-sharing scheme
14 marks
A bike-sharing scheme
14 marks
Eigenvalues and Eigenvectors question 21: A bike-sharing scheme
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22.Eigenvalues and Eigenvectors
Difficult
A seasonal illness
15 marks
A seasonal illness
15 marks
Eigenvalues and Eigenvectors question 22: A seasonal illness
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23.Eigenvalues and Eigenvectors
Difficult
Harvesting fish
14 marks
Harvesting fish
14 marks
Eigenvalues and Eigenvectors question 23: Harvesting fish
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24.Eigenvalues and Eigenvectors
Difficult
Salt in two connected tanks
16 marks
Salt in two connected tanks
16 marks
Eigenvalues and Eigenvectors question 24: Salt in two connected tanks
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25.Eigenvalues and Eigenvectors
Difficult
Ranking web pages
15 marks
Ranking web pages
15 marks
Eigenvalues and Eigenvectors question 25: Ranking web pages
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26.Eigenvalues and Eigenvectors
Difficult
A matrix and its characteristic equation
14 marks
A matrix and its characteristic equation
14 marks
Eigenvalues and Eigenvectors question 26: A matrix and its characteristic equation
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27.Eigenvalues and Eigenvectors
Difficult
Real or not real?
10 marks
Real or not real?
10 marks
Eigenvalues and Eigenvectors question 27: Real or not real?
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28.Eigenvalues and Eigenvectors
Difficult
A formula for the nth power
17 marks
A formula for the nth power
17 marks
Eigenvalues and Eigenvectors question 28: A formula for the nth power
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29.Eigenvalues and Eigenvectors
Difficult
Two supermarkets in the long run
17 marks
Two supermarkets in the long run
17 marks
Eigenvalues and Eigenvectors question 29: Two supermarkets in the long run
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30.Eigenvalues and Eigenvectors
Difficult
Moving between city and countryside
19 marks
Moving between city and countryside
19 marks
Eigenvalues and Eigenvectors question 30: Moving between city and countryside
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