Aleks 360 Access Card (18 Weeks) for Beginning & Intermediate Algebra
4th Edition
ISBN: 9780077564018
Author: ALEKS Corporation
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter A.4, Problem 23PE
Concept 2: Solving Systems of Linear Equations by Using the Gauss-Jordan Method
Given the matrix E
a. What is the element in the second row and third column?
b. What is the element in the first row and second column?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Find the Laplace Transform of the function to express it in frequency domain form.
Please draw a graph that represents the system of equations f(x) = x2 + 2x + 2 and g(x) = –x2 + 2x + 4?
Given the following system of equations and its graph below, what can be determined about the slopes and y-intercepts of the system of equations?
7
y
6
5
4
3
2
-6-5-4-3-2-1
1+
-2
1 2 3 4 5 6
x + 2y = 8
2x + 4y = 12
The slopes are different, and the y-intercepts are different.
The slopes are different, and the y-intercepts are the same.
The slopes are the same, and the y-intercepts are different.
O The slopes are the same, and the y-intercepts are the same.
Chapter A Solutions
Aleks 360 Access Card (18 Weeks) for Beginning & Intermediate Algebra
Ch. A.1 - Factor completely.
1.
Ch. A.1 - Prob. 2SPCh. A.1 - Prob. 3SPCh. A.1 - Prob. 4SPCh. A.1 - Factor completely. x y + 2 y + 3 x z + 6 z − x − 2Ch. A.1 - Vocabulary and Key Concepts
1. Given the...Ch. A.1 - Vocabulary and Key Concepts Given the expression...Ch. A.1 - Prob. 3PECh. A.1 - Prob. 4PECh. A.1 - Prob. 5PE
Ch. A.1 - Prob. 6PECh. A.1 - Concept 1: Factoring by Using Substitution For...Ch. A.1 - Concept 1: Factoring by Using Substitution
For...Ch. A.1 - Prob. 9PECh. A.1 - Prob. 10PECh. A.1 - Concept 1: Factoring by Using Substitution For...Ch. A.1 - Prob. 12PECh. A.1 - Prob. 13PECh. A.1 - Prob. 14PECh. A.1 - Prob. 15PECh. A.1 - Prob. 16PECh. A.1 - Prob. 17PECh. A.1 - Concept 1: Factoring by Using Substitution For...Ch. A.1 - Prob. 19PECh. A.1 - Prob. 20PECh. A.1 - Prob. 21PECh. A.1 - Prob. 22PECh. A.1 - Concept 2: Factoring 1 Term with 3 Terms For...Ch. A.1 - Prob. 24PECh. A.1 - Prob. 25PECh. A.1 - Prob. 26PECh. A.1 - Prob. 27PECh. A.1 - Prob. 28PECh. A.1 - Prob. 29PECh. A.1 - Prob. 30PECh. A.1 - Prob. 31PECh. A.1 - Prob. 32PECh. A.1 - Concept 3: Additional Strategies and Mixed...Ch. A.1 - Prob. 34PECh. A.1 - Prob. 35PECh. A.1 - Prob. 36PECh. A.1 - Concept 3: Additional Strategies and Mixed...Ch. A.1 - Concept 3: Additional Strategies and Mixed...Ch. A.1 - Prob. 39PECh. A.1 - Prob. 40PECh. A.1 - Prob. 41PECh. A.1 - Prob. 42PECh. A.1 - Concept 3: Additional Strategies and Mixed...Ch. A.1 - Prob. 44PECh. A.1 - Concept 3: Additional Strategies and Mixed...Ch. A.1 - Prob. 46PECh. A.1 - Concept 3: Additional Strategies and Mixed...Ch. A.1 - Prob. 48PECh. A.1 - Prob. 49PECh. A.1 - Prob. 50PECh. A.1 - Prob. 51PECh. A.1 - Prob. 52PECh. A.1 - Prob. 53PECh. A.1 - Concept 3: Additional Strategies and Mixed...Ch. A.1 - Concept 3: Additional Strategies and Mixed...Ch. A.1 - Prob. 56PECh. A.1 - Prob. 57PECh. A.1 - Prob. 58PECh. A.1 - Prob. 59PECh. A.1 - Prob. 60PECh. A.1 - Prob. 61PECh. A.1 - Concept 3: Additional Strategies and Mixed...Ch. A.1 - Concept 3: Additional Strategies and Mixed...Ch. A.1 - Prob. 64PECh. A.1 - Prob. 65PECh. A.1 - Prob. 66PECh. A.1 - Prob. 67PECh. A.1 - Concept 3: Additional Strategies and Mixed...Ch. A.2 - Housing prices for five homes in one neighborhood...Ch. A.2 - Prob. 2SPCh. A.2 - Prob. 3SPCh. A.2 - Prob. 4SPCh. A.2 - Prob. 5SPCh. A.2 - Prob. 6SPCh. A.2 - Prob. 7SPCh. A.2 - Prob. 8SPCh. A.2 - Prob. 9SPCh. A.2 - Prob. 1PECh. A.2 - Prob. 2PECh. A.2 - Prob. 3PECh. A.2 - Prob. 4PECh. A.2 - Concept 1: Mean For Exercises 1-7, find the mean...Ch. A.2 - Prob. 6PECh. A.2 - Concept 1: Mean
For Exercises 1-7, find the mean...Ch. A.2 - Prob. 8PECh. A.2 - Prob. 9PECh. A.2 - Prob. 10PECh. A.2 - Prob. 11PECh. A.2 - Prob. 12PECh. A.2 - Prob. 13PECh. A.2 - Prob. 14PECh. A.2 - Prob. 15PECh. A.2 - Prob. 16PECh. A.2 - Prob. 17PECh. A.2 - Prob. 18PECh. A.2 - Prob. 19PECh. A.2 - Prob. 20PECh. A.2 - Prob. 21PECh. A.2 - Prob. 22PECh. A.2 - Prob. 23PECh. A.2 - Prob. 24PECh. A.2 - Prob. 25PECh. A.2 - Prob. 26PECh. A.2 - Prob. 27PECh. A.2 - Prob. 28PECh. A.2 - Prob. 29PECh. A.2 - Prob. 30PECh. A.2 - Prob. 31PECh. A.2 - Prob. 32PECh. A.2 - Prob. 33PECh. A.2 - Prob. 34PECh. A.2 - The unemployment rates for nine countries are...Ch. A.2 - Prob. 36PECh. A.2 - Mixed Exercises Six test scores for Jonathan’s...Ch. A.2 - Prob. 38PECh. A.2 - Prob. 39PECh. A.2 - Prob. 40PECh. A.2 - Prob. 41PECh. A.2 - Prob. 42PECh. A.2 - Concept 4: Weighted Mean
For Exercises 43-46, use...Ch. A.2 - Prob. 44PECh. A.2 - Prob. 45PECh. A.2 - Concept 4: Weighted Mean For Exercises 43-46, use...Ch. A.2 - Concept 4: Weighted Mean Refer to the table given...Ch. A.2 - Expanding Your Skills There are 20 students...Ch. A.2 - Prob. 49PECh. A.3 - Prob. 1SPCh. A.3 - Prob. 2SPCh. A.3 - Prob. 3SPCh. A.3 - Prob. 4SPCh. A.3 - Prob. 5SPCh. A.3 - Prob. 6SPCh. A.3 - Prob. 7SPCh. A.3 - Prob. 8SPCh. A.3 - Refer to the figure. Assume that lines L 1 and L 2...Ch. A.3 - Prob. 10SPCh. A.3 - For Exercises 10-14, refer to the figure. Find the...Ch. A.3 - Prob. 12SPCh. A.3 - For Exercises 10-14, refer to the figure. Find the...Ch. A.3 - For Exercises 10-14, refer to the figure. Find the...Ch. A.3 - Prob. 1PECh. A.3 - Prob. 2PECh. A.3 - Prob. 3PECh. A.3 - Prob. 4PECh. A.3 - Prob. 5PECh. A.3 - Prob. 6PECh. A.3 - Prob. 7PECh. A.3 - Prob. 8PECh. A.3 - Prob. 9PECh. A.3 - Prob. 10PECh. A.3 - Prob. 11PECh. A.3 - Prob. 12PECh. A.3 - Prob. 13PECh. A.3 - Prob. 14PECh. A.3 - Prob. 15PECh. A.3 - Prob. 16PECh. A.3 - Prob. 17PECh. A.3 - Prob. 18PECh. A.3 - Prob. 19PECh. A.3 - Prob. 20PECh. A.3 - Prob. 21PECh. A.3 - Prob. 22PECh. A.3 - Prob. 23PECh. A.3 - Prob. 24PECh. A.3 - Prob. 25PECh. A.3 - Concept 2: Area For Exercises 13-26, find the...Ch. A.3 - Prob. 27PECh. A.3 - Prob. 28PECh. A.3 - Prob. 29PECh. A.3 - Prob. 30PECh. A.3 - Prob. 31PECh. A.3 - Prob. 32PECh. A.3 - Prob. 33PECh. A.3 - Prob. 34PECh. A.3 - Prob. 35PECh. A.3 - Prob. 36PECh. A.3 - Prob. 37PECh. A.3 - Prob. 38PECh. A.3 - Concept 3: Volume Find the volume of a snow cone...Ch. A.3 - Concept 3: Volume A landscaping supply company has...Ch. A.3 - Mixed Exercises: Perimeter, Area, and Volume A...Ch. A.3 - Prob. 42PECh. A.3 - Prob. 43PECh. A.3 - Prob. 44PECh. A.3 - Mixed Exercises: Perimeter, Area, and...Ch. A.3 - Prob. 46PECh. A.3 - Mixed Exercises: Perimeter, Area, and Volume a. An...Ch. A.3 - Mixed Exercises: Perimeter, Area, and Volume The...Ch. A.3 - Mixed Exercises: Perimeter, Area, and...Ch. A.3 - Prob. 50PECh. A.3 - Mixed Exercises: Perimeter, Area, and Volume Find...Ch. A.3 - Prob. 52PECh. A.3 - Prob. 53PECh. A.3 - Concept 4: Angles
For Exercises 53-58, answer true...Ch. A.3 - Prob. 55PECh. A.3 - Prob. 56PECh. A.3 - Prob. 57PECh. A.3 - Prob. 58PECh. A.3 - Prob. 59PECh. A.3 - Prob. 60PECh. A.3 - Prob. 61PECh. A.3 - Prob. 62PECh. A.3 - Prob. 63PECh. A.3 - Prob. 64PECh. A.3 - Prob. 65PECh. A.3 - Prob. 66PECh. A.3 - Concept 4: Angles For Exercise 67-70, the measure...Ch. A.3 - Prob. 68PECh. A.3 - Prob. 69PECh. A.3 - Concept 4: Angles For Exercise 67-70, the measure...Ch. A.3 - Prob. 71PECh. A.3 - Prob. 72PECh. A.3 - Prob. 73PECh. A.3 - Concept 4: Angles For Exercise 71-74, the measure...Ch. A.3 - Prob. 75PECh. A.3 - Prob. 76PECh. A.3 - Prob. 77PECh. A.3 - Prob. 78PECh. A.3 - Prob. 79PECh. A.3 - Prob. 80PECh. A.3 - Prob. 81PECh. A.3 - Prob. 82PECh. A.3 - Prob. 83PECh. A.3 - Prob. 84PECh. A.3 - Prob. 85PECh. A.3 - Prob. 86PECh. A.3 - Prob. 87PECh. A.3 - Concept 5: Triangles
For Exercises 85-88, identify...Ch. A.3 - Prob. 89PECh. A.3 - Concept 5: Triangles
90. True or False? If a...Ch. A.3 - Concept 5: Triangles
91. Can a triangle be both a...Ch. A.3 - Concept 5: Triangles
92. Can a triangle be both a...Ch. A.3 - Prob. 93PECh. A.3 - Prob. 94PECh. A.3 - Prob. 95PECh. A.3 - Prob. 96PECh. A.3 - Prob. 97PECh. A.3 - Prob. 98PECh. A.3 - Concept 5: Triangles
99. Refer to the figure. Find...Ch. A.3 - Concept 5: Triangles
100. Refer to the figure....Ch. A.3 - Prob. 101PECh. A.3 - Prob. 102PECh. A.3 - Prob. 103PECh. A.3 - Prob. 104PECh. A.3 - Prob. 105PECh. A.3 - Expanding Your Skills For Exercises 103-106, find...Ch. A.4 - Determine the order of the matrix.
1.
Ch. A.4 - Prob. 2SPCh. A.4 - Prob. 3SPCh. A.4 - Prob. 4SPCh. A.4 - Prob. 5SPCh. A.4 - Prob. 6SPCh. A.4 - Prob. 7SPCh. A.4 - Prob. 8SPCh. A.4 - Prob. 9SPCh. A.4 - Solve by using the Gauss-Jordan method. x − 2 y =...Ch. A.4 - Solve by using the Gauss-Jordan method. x + y + z...Ch. A.4 - Solve by using the Gauss-Jordan method. 4 x − 6 y...Ch. A.4 - Solve by using the Gauss-Jordan method.
13.
Ch. A.4 - a. A _______ is a rectangular array of numbers....Ch. A.4 - Review Exercises How much 50% acid solution should...Ch. A.4 - Prob. 3PECh. A.4 - Prob. 4PECh. A.4 - Review Exercises For Exercises 3-5, solve the...Ch. A.4 - Prob. 6PECh. A.4 - Prob. 7PECh. A.4 - Prob. 8PECh. A.4 - Prob. 9PECh. A.4 - Prob. 10PECh. A.4 - Prob. 11PECh. A.4 - Prob. 12PECh. A.4 - Prob. 13PECh. A.4 - Prob. 14PECh. A.4 - Prob. 15PECh. A.4 - Concept 1: Introduction to Matrices For Exercises...Ch. A.4 - Concept 1: Introduction to Matrices
For Exercises...Ch. A.4 - Concept 1: Introduction to Matrices For Exercises...Ch. A.4 - Prob. 19PECh. A.4 - Prob. 20PECh. A.4 - Prob. 21PECh. A.4 - Prob. 22PECh. A.4 - Concept 2: Solving Systems of Linear Equations by...Ch. A.4 - Concept 2: Solving Systems of Linear Equations by...Ch. A.4 - Concept 2: Solving Systems of Linear Equations by...Ch. A.4 - Concept 2: Solving Systems of Linear Equations by...Ch. A.4 - Concept 2: Solving Systems of Linear Equations by...Ch. A.4 - Concept 2: Solving Systems of Linear Equations by...Ch. A.4 - Concept 2: Solving Systems of Linear Equations by...Ch. A.4 - Prob. 30PECh. A.4 - Prob. 31PECh. A.4 - Prob. 32PECh. A.4 - Prob. 33PECh. A.4 - Prob. 34PECh. A.4 - Prob. 35PECh. A.4 - Concept 2: Solving Systems of Linear Equations by...Ch. A.4 - Prob. 37PECh. A.4 - Prob. 38PECh. A.4 - Prob. 39PECh. A.4 - Prob. 40PECh. A.4 - Concept 2: Solving Systems of Linear Equations by...Ch. A.4 - Concept 2: Solving Systems of Linear Equations by...Ch. A.4 - Prob. 43PECh. A.4 - Prob. 44PECh. A.4 - Prob. 45PECh. A.4 - Concept 2: Solving Systems of Linear Equations by...Ch. A.4 - Prob. 47PECh. A.4 - Prob. 48PECh. A.4 - Prob. 49PECh. A.4 - Prob. 50PECh. A.4 - Concept 2: Solving Systems of Linear Equations by...Ch. A.4 - Prob. 52PECh. A.4 - Prob. 53PECh. A.4 - Concept 2: Solving Systems of Linear Equations by...Ch. A.4 - Prob. 55PECh. A.4 - Prob. 56PECh. A.4 - Graphing Calculator Exercises For Exercises 57-62,...Ch. A.4 - Graphing Calculator Exercises For Exercises 57-62,...Ch. A.4 - Graphing Calculator Exercises
For Exercises 57-62,...Ch. A.4 - Graphing Calculator Exercises
For Exercises 57-62,...Ch. A.4 - Graphing Calculator Exercises
For Exercises 57-62,...Ch. A.4 - Graphing Calculator Exercises For Exercises 57-62,...Ch. A.5 - Prob. 1SPCh. A.5 - Prob. 2SPCh. A.5 - Prob. 3SPCh. A.5 - Prob. 4SPCh. A.5 - Prob. 5SPCh. A.5 - Prob. 6SPCh. A.5 - Prob. 7SPCh. A.5 - Prob. 8SPCh. A.5 - Prob. 9SPCh. A.5 - Prob. 1PECh. A.5 - Prob. 2PECh. A.5 - Prob. 3PECh. A.5 - Prob. 4PECh. A.5 - Prob. 5PECh. A.5 - Prob. 6PECh. A.5 - Prob. 7PECh. A.5 - Prob. 8PECh. A.5 - Prob. 9PECh. A.5 - Prob. 10PECh. A.5 - Prob. 11PECh. A.5 - Prob. 12PECh. A.5 - Prob. 13PECh. A.5 - Prob. 14PECh. A.5 - Prob. 15PECh. A.5 - Prob. 16PECh. A.5 - Concept 2: Determinant of a Matrix
17. Evaluate...Ch. A.5 - Concept 2: Determinant of a Matrix
18. Evaluate...Ch. A.5 - Concept 2: Determinant of a Matrix
19. When...Ch. A.5 - Prob. 20PECh. A.5 - Prob. 21PECh. A.5 - Prob. 22PECh. A.5 - Prob. 23PECh. A.5 - Prob. 24PECh. A.5 - Prob. 25PECh. A.5 - Prob. 26PECh. A.5 - Prob. 27PECh. A.5 - Prob. 28PECh. A.5 - Prob. 29PECh. A.5 - Prob. 30PECh. A.5 - Prob. 31PECh. A.5 - Concept 3: Cramer’s Rule For Exercises 32-34,...Ch. A.5 - Concept 3: Cramer’s Rule
For Exercises 32-34,...Ch. A.5 - Concept 3: Cramer’s Rule
For Exercises 32-34,...Ch. A.5 - Concept 3: Cramer’s Rule
For Exercises 35-40,...Ch. A.5 - Concept 3: Cramer’s Rule For Exercises 35-40,...Ch. A.5 - Concept 3: Cramer’s Rule For Exercises 35-40,...Ch. A.5 - Concept 3: Cramer’s Rule For Exercises 35-40,...Ch. A.5 - Concept 3: Cramer’s Rule For Exercises 35-40,...Ch. A.5 - Concept 3: Cramer’s Rule For Exercises 35-40,...Ch. A.5 - Concept 3: Cramer’s Rule
For Exercises 41-46,...Ch. A.5 - Concept 3: Cramer’s Rule
For Exercises 41-46,...Ch. A.5 - Concept 3: Cramer’s Rule For Exercises 41-46,...Ch. A.5 - Concept 3: Cramer’s Rule For Exercises 41-46,...Ch. A.5 - Concept 3: Cramer’s Rule For Exercises 41-46,...Ch. A.5 - Concept 3: Cramer’s Rule For Exercises 41-46,...Ch. A.5 - Concept 3: Cramer’s Rule When does Cramer’s rule...Ch. A.5 - Concept 3: Cramer’s Rule
48. How can a system be...Ch. A.5 - Concept 3: Cramer’s Rule
For Exercises 49-58,...Ch. A.5 - Concept 3: Cramer’s Rule
For Exercises 49-58,...Ch. A.5 - Concept 3: Cramer’s Rule
For Exercises 49-58,...Ch. A.5 - Concept 3: Cramer’s Rule For Exercises 49-58,...Ch. A.5 - Concept 3: Cramer’s Rule
For Exercises 49-58,...Ch. A.5 - Concept 3: Cramer’s Rule
For Exercises 49-58,...Ch. A.5 - Concept 3: Cramer’s Rule
For Exercises 49-58,...Ch. A.5 - Concept 3: Cramer’s Rule For Exercises 49-58,...Ch. A.5 - Concept 3: Cramer’s Rule
For Exercises 49-58,...Ch. A.5 - Concept 3: Cramer’s Rule For Exercises 49-58,...Ch. A.5 - Expanding Your Skills For Exercises 59-62, solve...Ch. A.5 - Prob. 60PECh. A.5 - Prob. 61PECh. A.5 - Prob. 62PECh. A.5 - Expanding Your Skills For Exercise 63-64, evaluate...Ch. A.5 - Expanding Your Skills For Exercise 63-64, evaluate...Ch. A.5 - Expanding Your Skills For Exercises 65-66, refer...Ch. A.5 - Expanding Your Skills For Exercises 65-66, refer...Ch. A.5 - Prob. 67PECh. A.5 - Prob. 68PECh. A.5 - Prob. 69PECh. A.5 - Prob. 70PECh. A.5 - Prob. 71PECh. A.5 - Expanding Your Skills
72. During a 1-hr television...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Similar questions
- Choose the function to match the graph. -2- 0 -7 -8 -9 --10- |--11- -12- f(x) = log x + 5 f(x) = log x - 5 f(x) = log (x+5) f(x) = log (x-5) 9 10 11 12 13 14arrow_forwardWhich of the following represents the graph of f(x)=3x-2? 7 6 5 4 ++ + + -7-6-5-4-3-2-1 1 2 3 4 5 6 7 -2 3 -5 6 -7 96 7 5 4 O++ -7-6-5-4-3-2-1 -2 -3 -4 -5 -7 765 432 -7-6-5-4-3-2-1 -2 ++ -3 -4 -5 -6 2 3 4 5 6 7 7 6 2 345 67 -7-6-5-4-3-2-1 2 3 4 5 67 4 -5arrow_forward13) Let U = {j, k, l, m, n, o, p} be the universal set. Let V = {m, o,p), W = {l,o, k}, and X = {j,k). List the elements of the following sets and the cardinal number of each set. a) W° and n(W) b) (VUW) and n((V U W)') c) VUWUX and n(V U W UX) d) vnWnX and n(V WnX)arrow_forward
- 9) Use the Venn Diagram given below to determine the number elements in each of the following sets. a) n(A). b) n(A° UBC). U B oh a k gy ท W z r e t ་ Carrow_forward10) Find n(K) given that n(T) = 7,n(KT) = 5,n(KUT) = 13.arrow_forward7) Use the Venn Diagram below to determine the sets A, B, and U. A = B = U = Blue Orange white Yellow Black Pink Purple green Grey brown Uarrow_forward
- 1) Use the roster method to list the elements of the set consisting of: a) All positive multiples of 3 that are less than 20. b) Nothing (An empty set).arrow_forward2) Let M = {all postive integers), N = {0,1,2,3... 100), 0= {100,200,300,400,500). Determine if the following statements are true or false and explain your reasoning. a) NCM b) 0 C M c) O and N have at least one element in common d) O≤ N e) o≤o 1arrow_forward4) Which of the following universal sets has W = {12,79, 44, 18) as a subset? Choose one. a) T = {12,9,76,333, 44, 99, 1000, 2} b) V = {44,76, 12, 99, 18,900,79,2} c) Y = {76,90, 800, 44, 99, 55, 22} d) x = {79,66,71, 4, 18, 22,99,2}arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:9781305658004
Author:Ron Larson
Publisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Matrix Factorization - Numberphile; Author: Numberphile;https://www.youtube.com/watch?v=wTUSz-HSaBg;License: Standard YouTube License, CC-BY