Chapter 5, Supplementary Exercises, Question 10 The Cayley-Hamilton Theorem provides a method for calculating powers of a matrix. For example, if A is a 3x 3 matrix with the characteristic equation then col + c,A + cA + A- 0, so A-A - GA- Cd Multiplying through by A yields A- cA - ea? - cA, which expresses A" in terms of A, A and A. Use this procedure to calculate 4 and A for A-0 0 1 1 -2 2

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Q: 「+ w(ュ-215+2w)11ニテVる

A: To prove:  1+ω7ω-2+5+2ω1+ω = ±3i We know that ω is a cube root of unity and 1+ω+ω2=0 and ω = -1+i32…

Q: I cannot see the answer for letter b

A: Sample size (n) = 10 Probability(p) = 0.69

Q: How did you get those answers?

A: Since here we have two variables p and q, they can take values True (T) and False (F) each.  So, the…

Q: How do you know to do this?

A: or you can use Heron's Formula to find the area of the triangle.

Q: = Complete the following truth table. Use T for true and F for false. You may add more columns, but…

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Q: Graph. y = - x² + 2x - 8 Use the graphing tool to graph the equation. Click to enlarge graph

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Q: Need help finding for both a and b. Overall confused on this concept.

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Q: Will you show me step by step how to answer this, please?

A: Expected value:The expected value of a random variable is the sum of the possible values that the…

Q: ANSWER #4 STRICTLY HANDWRITTEN. DO NOT GIVE TYPEWRITTEN ANSWERS

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Q: I need to answer b and c please

A: b. The probability that the car is traveling more than 79 mph is, Thus, the probability that the…

Q: Not correct answer, read the question again!

A: Given Data We have to find the shortest path and taken time as measure. a) Formulate the problem as…

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A: s = 10 old reliability = probability of passing = 0.66 The confidence Interval is given as: CI =…

Q: The table shows the movement of a stock for 30 randomly selected trading days. "Up" means the stock…

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A: Volume of the surface z=f(x,y) bounded region in the xy-plane

Q: 3. L se : +16,

A: The given Laplace function: f(t)=L-1se-2ts2+16 That is, to find the Laplace inverse function of, 1.…

Q: How did you figure out the answers? Can you show your work

A: Doubt: How did you figure out the answers.

Q: What makes math difficult for students?

A: Mathematics would be easy if the student know what to do. If a student cannot determine what to do…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.