A and b Show that the equation Ax = b does not have a solution for all possible b, and describe the set of b for which Ax = b does have a solution.

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A: Note: As per company guidelines we are supposed to solve 1 question. So, kindly repost other…

Q: Solve the equation. (If there is no solution, enter NO SOLUTION. If there are infinitely many…

A: Since, we have to solve the given equation 16x-1=530x-5 -(i)

Q: a – b -| < 1, if|a| < 1, and |b| < 1. 1- āb - Show that|-

A: From the given information. For , then show that .

Q: How many solutions are there to the equation X1 + x2 + x3 +x4 + x5 = 21 %3D where r;, i =1, 2, 3, 4,…

A: Depending upon the type of equation, the number of solution will vary. If a system contains linear…

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Q: 1. Let A = -6 -1] and b = Show that the equation Ax = b does not have a solution b2 for all possible…

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Q: Find the cardinal number of the set of all solutions to x2 =100

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Q: Michael needs to choose a password for his bank card. The password can use the digits 0, 1, ...,9…

A: Permutation: Let us consider total number of elements n and r to be chosen in a specific way then…

Q: Solve the inequality. Give the resu lt in set notation. 2(x + 3) + 4x - 4 < 8x

A: The given equation is  2(x +3) +4x - 4 &lt; 8x

Q: Determine whether the statement is true or false. Prove the statement directly from the definitions…

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Q: / Evaluate the diterminate tor : -2 -1 7 3 2

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Q: If a = 2a - a² and b =1-(1-a), show that a = b for all natural numbers n. Assume that a, is a fixed…

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Q: - 13 A = 6-4 -3 2 and b = b₁ b2

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Q: There are four bus lines between A and B, and three bus lines between B and C. Find the number m of…

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Q: 1- Suppose A=

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Q: Let S = {-5, -1, 0,, 1, V5, 3, 5}. Determine which elements of S satisfy the inequality. 5. -2 - 3x…

A: Given inequality is,  -2-3x≥13 It is simplified as follows: -2-3x≥13-2-3x+2≥13+23x≥13+23x≥73x≥79

Q: 15. Let A and b Show that the cquation Ax b does nol have a solution for all possible b, and…

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Q: We know that X*H=H if and only if XEH .Give an example to satisfy this statement

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Q: In a group of Explore students, 38 enjoy video games, 12 enjoy going to the movies and 24 enjoy…

A: Only like two of activity is 10

Q: _The Cauchy-Schwarz Inequality states .+ a%)(b} + b3 + ...+ b,) (a,b1 + azb2 + ...+ a,bn)? < (aỉ +…

A: Given

Q: If a + 0, the degree of ax" is

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Q: If a, b, and c are non-negative real numbers that satisfy a + 3b + 2c = 3 and 3a + 3b + c = 4.…

A: We will first solve a + 3b + 2c = 3 and 3a + 3b + c = 4. So,    a+3b+2c=33a+3b+c=4Substitute…

Q: State all integer values of x in the interval -3 3

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Q: State all integer values of x in the interval 3 -7

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Q: A 125-page document is being printed by five printers. Each page will be printed exactly once. (a)…

A: Consider the provided question, (a) There are 5 printers A, B, C, D and E. Each printer can print…

Q: The value of k such that P2(1) = 2.8 , 2 k 4 1 Is

A: Lagrange's interpolating polynomial is:…

Q: Currently, lecture A has 68 students enrolled. Let’s say we gave an assignment  with 7 questions to…

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Q: Show that if u is an odd integer ,then the equation x2 +x−u=0 has no solution that is an integer.

A: The objective is to prove that x2+x-u=0 has no solution that is an integer. Suppose that there…

Q: State all integer values of x in the interval 1< x < 7 that satisfy the following inequality: -x + 6…

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Q: Two integers, a and b, have a product of 48. What is the least possible sum of a and b? The least…

A: Answer is a+b= -49. Explanation is given below...

Q: If a =(2,3,-1) ,(1,6,0) ,(2,1,3) prove that Aa^-1 =A^-1A=I Please show all the step

A: Given matrix is, A=23-1160213

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Q: A 125-page document is being printed by five printers. Each page will be printed exactly once. (a)…

A: (a). The number of ways for the 125 pages to assign to the 5 printers: The total number of pages in…

Q: our boys and 3 girls are to be seated on a row of 7 chairs such that the boys shall occupy only the…

A: To Find the number of all possible ways that the boys shall occupy only the odd number chairs.

Q: 18) Of all pairs-of consecutive odd Integers whose sum is at least 75, find the pair whose sum is…

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Q: Let A; = [0,2+. Find U A; and N A; Answer in interval notation.

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Q: A student works in a bookstore where he is required to work at least four and at most five days a…

A: Given- A student works in a bookstore where he is required to work at least four and at most five…

Q: Prove that for any positive numbers a and b the inequality ab+ba≥2 is valid.

A: It is required to prove for any positive numbers a and b.

Q: In a certain town every telephone number consists of four digits, the first of which cannot be zero.…

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Q: If a and b are odd positive integers, and the sum of the integers, less than a and greater than b,…

A: Let a and b are odd positive integers, and it is given that sum of integers, less than a and greater…

Q: Let x, Y be positive real numbers. If x2 – y² =1, then x or y (or both) is not an integer.

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Q: Prove by contradiction that if a sum of three real numbers is less than 30, th at least one of the…

A: We have to prove by contradiction that if a sum of three real number is less than 30, then at least…

Q: If a ≠ 0, the degree of axn is__________.

A: We have to fill in the blanks: If a≠0, the degree of axn is ----. We know that degree of any…

Q: Four consecutive positive integers are such that the smallest is a multiple of 5, the second is a…

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Q: This hypothesis always contains the statement of equality.

A: Solution : Given statement : This hypothesis always contains the statement of equality. There are…

Q: Two sets A and B contains a and belements respectively. If power set of A contains 32 more elements…

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Q: { // - // | m, n {N} write the infimum, mini mum, maximum and supremum of each of the ff. sets…

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Q: 2.Let A € R, b e R" and k be natural numbers. System Ax = b has only one solution if system A'x = b…

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