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Solved using basic knowledge of linear algebra
![M = -5-7] L7 - 5 Let a be the eigenvalue FM IM-XI1=0 -5 2 - 7 =0 T7 -5-1 -> (-5-7² +40=0 x ² + 10x + 74=0 d = -10 + V 100 - 2](http://img.homeworklib.com/questions/5d008cd0-881f-11eb-aa54-83d4c8064b8c.png?x-oss-process=image/resize,w_560)
![When 2 = -5-ti Letaz (ori] be its eigen vector A-d₂I) 5 = [-5-6-5-22) - 7-5 [x] - 1:3 Lote | R, (A) II ir Ti i 10 cel => x=-1](http://img.homeworklib.com/questions/60f2bb80-881f-11eb-8285-1b80d6f32fb6.png?x-oss-process=image/resize,w_560)
![KE & S (-5) 1-2h 7 2K (w 2k (2) whese th] ecs the greatest integes function on ..Min - i nc (-577-22 2h Dhal 22nc(-s) 92-9672](http://img.homeworklib.com/questions/6300e440-881f-11eb-aa52-f7e800eb667a.png?x-oss-process=image/resize,w_560)
![- Ri mn M22 J 1/2 M Mn. 1/2] in n-26 (-5) (-DR 7 2K -2k-1 K (-1) 2h+ 7 2kt ko 69127 n-2k-1 0-2h -5) 27-2560572 - K2k 2k1 K=0](http://img.homeworklib.com/questions/6533ed20-881f-11eb-b89c-25dd95822115.png?x-oss-process=image/resize,w_560)
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M-「-5-7 7 -5 Find formulas for the entries of Mn, where n is a positive integer....
Find formulas for the entries of M^n , where n is a positive integer. Help me please
Let M= 146 -12-4.Find formulas for the entries of Mn , wherenis a positive integer.Mn=
(1 point) Let 12 12 M Find formulas for the entries of M", where n is...
(1 point) Let 12 12 M Find formulas for the entries of M", where n is a positive integer. Mn
can someone help me with this~ At least one of the answers above is NOT correct. 2 1 (1 pt) Let M 2 5 Find formulas for...
can someone help me with
this~
At least one of the answers above is NOT correct. 2 1 (1 pt) Let M 2 5 Find formulas for the entries of M", where n is a positive integer. M" Note: You can earn partial credit on this problem.
At least one of the answers above is NOT correct. 2 1 (1 pt) Let M 2 5 Find formulas for the entries of M", where n is a positive integer. M" Note:...
1. (Integers: primes, divisibility, parity.) (a) Let n be a positive integer. Prove that two numbers...
1. (Integers: primes, divisibility, parity.) (a) Let n be a positive integer. Prove that two numbers na +3n+6 and n2 + 2n +7 cannot be prime at the same time. (b) Find 15261527863698656776712345678%5 without using a calculator. (c) Let a be an integer number. Suppose a%2 = 1. Find all possible values of (4a +1)%6. 2. (Integers: %, =) (a) Suppose a, b, n are integer numbers and n > 0. Prove that (a+b)%n = (a%n +B%n)%n. (b) Let a,...
8-7. Find the smallest positive integer a such that 5:13 +13n" + a(9) = 0 (mod...
8-7. Find the smallest positive integer a such that 5:13 +13n" + a(9) = 0 (mod 65) for all integers n.
If m and n are coprime positive integers, prove that φ(n) no(m)-1 (mod mn).
If m and n are coprime positive integers, prove that φ(n) no(m)-1 (mod mn).
4. Let n be a positive integer. Z" is the set of all lists of length n whose entries are in Z. Prove that Z" is...
4. Let n be a positive integer. Z" is the set of all lists of length n whose entries are in Z. Prove that Z" is countable. (Hint: Find a bijection between Z"-1x Z and Z" and then use induction.)
4. Let n be a positive integer. Z" is the set of all lists of length n whose entries are in Z. Prove that Z" is countable. (Hint: Find a bijection between Z"-1x Z and Z" and then use induction.)
I randomly pick two integers from 1 to n without replacement (n a positive integer). Let...
I randomly pick two integers from 1 to n without replacement (n a positive integer). Let X be the maximum of the two numbers. (a) Find the probability mass function of X. (b) Find E(X) and simplify as much as possible (use formulas for the sum and sum of squares of the first n integers which you can find online).
Show that every positive integer n, there is a string of n consecutive integers where first...
Show that every positive integer n, there is a string of n consecutive integers where first integer is even, the second is divisible by a perfect square(other than 1), the third by a perfect cube(other than 1), etc..., and the nth is divisible by the nth power of an integer(other than 1). Then find an example for n = 3.
5. (a) Let m,n be coprime integers, and suppose a is an integer which is divisible...
5. (a) Let m,n be coprime integers, and suppose a is an integer which is divisible by both m and n. Prove that mn divides a. (b) Show that the conclusion of part (a) is false if m and n are not coprime (ie, show that if m and n are not coprime, there exists an integer a such that mla and nla, but mn does not divide a). (c) Show that if hef(x,m) = 1 and hcf(y,m) = 1,...
(1 point) Let 12 12 M Find formulas for the entries of M", where n is a positive integer. Mn
can someone help me with
this~
At least one of the answers above is NOT correct. 2 1 (1 pt) Let M 2 5 Find formulas for the entries of M", where n is a positive integer. M" Note: You can earn partial credit on this problem.
At least one of the answers above is NOT correct. 2 1 (1 pt) Let M 2 5 Find formulas for the entries of M", where n is a positive integer. M" Note:...
1. (Integers: primes, divisibility, parity.) (a) Let n be a positive integer. Prove that two numbers na +3n+6 and n2 + 2n +7 cannot be prime at the same time. (b) Find 15261527863698656776712345678%5 without using a calculator. (c) Let a be an integer number. Suppose a%2 = 1. Find all possible values of (4a +1)%6. 2. (Integers: %, =) (a) Suppose a, b, n are integer numbers and n > 0. Prove that (a+b)%n = (a%n +B%n)%n. (b) Let a,...
8-7. Find the smallest positive integer a such that 5:13 +13n" + a(9) = 0 (mod 65) for all integers n.
If m and n are coprime positive integers, prove that φ(n) no(m)-1 (mod mn).
4. Let n be a positive integer. Z" is the set of all lists of length n whose entries are in Z. Prove that Z" is countable. (Hint: Find a bijection between Z"-1x Z and Z" and then use induction.)
4. Let n be a positive integer. Z" is the set of all lists of length n whose entries are in Z. Prove that Z" is countable. (Hint: Find a bijection between Z"-1x Z and Z" and then use induction.)
5. (a) Let m,n be coprime integers, and suppose a is an integer which is divisible by both m and n. Prove that mn divides a. (b) Show that the conclusion of part (a) is false if m and n are not coprime (ie, show that if m and n are not coprime, there exists an integer a such that mla and nla, but mn does not divide a). (c) Show that if hef(x,m) = 1 and hcf(y,m) = 1,...
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