Let Abc Be A Right Triangle With B 90 Let E And F Be Respectively The Mid Points

Let ABC be a right triangle with ∠B = 90◦. Let E and F be respectively the mid-points of AB and AC. Suppose the incentre I of triangle ABC lieson the circumcircle of triangle AEF. Find the ratio BC/AB.6. Find all real numbers a such that 3

 
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Let A Be A M X M Matrix With Eigenvalues Lambda 1 Lambda 2 Lambda M

Let A be a m x m matrix with eigenvalues ​​​ . Show that

[tr(A)]​  = tr(A​) + 2​​​

please provide detailed explanation how

[tr(A)]​ = ​​​​​ ??? then becomes the final answer?

 
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Let A1 2 A N 1 5 A N 4 A N For N 1

let a1 = 2, a(n+1) = (5*a(n) – 4) / a(n) for n>=1. Show that (1 <= a(n) <= a(n+1) <= 4) for n>=1

Given,A(n+1) = 5*A(n) -4/A(n) A(n+1) = 5 – [4/A(n)]That can be written as[A(n+1) – 1]/4 = 1 – [1/A(n)]Putting A(1) = 2A(2)&gt; 1From A(2) ,A( 3) &gt;1This tells that A(n) &gt; 1A(n+1)…

 
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Let A B Represent An Interval Or Range Of Values X Such That A X B Consider An A

Let (a; b) represent an interval (or range) of values x such that a <=x<= b . Consider an array X =<

a1,b1,a2,b2,…, an, bn > of 2n numbers representing n intervals (ai, bi) , where ai = X[2i-1] and bi =

X[2i] and ai <= bi . an algorithm called Simplify-Intervals(X) that takes an arrayX representing n

 intervals, and simplifies X in-place. The “simplification” of a set of intervals X is a minimal set of intervals

representing the union of all the intervals in X . Notice that the union of two disjoint intervals can not be

simplified, but the union of two partially overlapping intervals can be simplified into a single interval. For

example, a correct solution for the simplification ofX =< 3, 7, 1, 5, 10, 12, 6, 8 > isX =< 10, 12, 1, 8 > .

An array X can be shrunk by setting its length (effectively removing elements at the end of the array).

In this example, length(X) should be 4 after the execution of the simplification algorithm. Analyze the

complexity of Simplify-Intervals .

 
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Let A1 1 A N 1 3 A N 2 For N 1

let a1 = 1, a(n+1) = 3*a(n) + 2 for n>=1. show that a(n) = 2*3^(n-1) – 1 for n>=1

Given A(1) =1A(N+1) = 3*A(N)+2 A(N+1) – A(N) = 2 A(N) +2 [A(N+1)+1] – [A(N)+1] = 2 *(A(N) +1)Defining new series B(N) = A(N) +1 B(N+1)- B(N) = 2*B(N) B(N+1) = 3B(N) [B(N+1)/B(N)] = 3So B(N)…

 
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Let A B C Be Events A Write Each Of These Events In Terms Ofa B C Using Intersec

Let A,B,C be events.(a)Write each of these events in terms ofA,B,C using intersections, unions,and complements:(i) None of A,B,C occurs.(ii) At least two of A,B,C occur.(iii) Exactly one of A,B,C occurs.(iv) Exactly two of A,B,C occurs.(v) Exactly three of A,B,C occur.

 
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Let A Random Sample Be Taken Of Size N 100from A Population With A Known Standar

Let a random sample be taken of size n = 100 from a population with a known standard deviation of σ

= 20. Suppose that the mean of the sample is = 37. Find the 95% confidence interval for the mean, μ

, of the population from which the sample was drawn. (Answer in CI format and round the values to whole numbers.)

 
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Let A B And C Be The Amounts Invested In Companies A B And C

5

19

20

1

What will be the first item the burglar should choose? (Please show your work by stating your reason.)

a.      Item 1

b.     Item 2

c.      Item 3

d.     Item 4

e.      Item 5

 
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Let A R Rm Defined By An M X 12 Matrix Such That A Vh Av 1 Show That The Ra

Solve question 1 Advanced Linear Algebra related to Vector spaces , Range and Null space . Try to give the solution with detailed necessary steps. Thank u.

1 . Let A : R&quot; — RM defined by an m X 12 – matrix such that A : VH AV .( 1) Show that the range R ( A ) is the span of the column vectors of A ;( 2) Show that the mull space N ( A ) = 10; if and only if the column vectors of A arelinearly independent .

 
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Let A Pqr B Pqs C Prs D Pqs And E Pqs Where P Q R And S Represent Meaningful Sta

Let A = p∨q∨¬r, B = p∨¬q∨¬s, C = p∨¬r∨¬s, D = ¬p∨¬q∨¬s, and E = p∨q∨¬s, where p, q, r, and s represent meaningful statements. Determine whether A∧ B∧C ∧ D∧E is a tautology. Explain your answer

I have tried to use the and truth table. I got stuck cause there are 4 meaningful statements. Many thanks!

 
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