PROVE IT Given any real n x n matrix A, if A is invertible, then there is an orthogonal matrix Q and an upper triangular matrix R with positive diagonal entries such that A = QR.

Q: 2. Find the first three terms of geometric Progression whose sum is 342 and product is 74,088 Let…

A: Solution: let the first three terms of geometric progression be ar, a, ar. and given that,…

Q: Solve each nonhomogeneou 1. [32]

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Q: Are the following isomorphic  ? Why

A: We know that ,  Two graphs G1 and G2 are isomorphic if there exists a matching between their…

Q: Find the inverse Laplace transform of 7s (3s²+75)²

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Q: 5. (a) 8 a b 13 cde Let A be a 3 x 3 matrix and det(A) = 1. Compute det ([(2A)¹]-¹). (c) 2 (d) (e)…

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Q: . Consider f(2)= (+ i)¹/3. Choose a set of branch cut (s) and sketch it in the complex plane. For…

A: As per the question we are given a complex function as : f(z) = (1/z + i)1/3 And we have to choose a…

Q: The diagonal of a certain rectangle is twice its length minus 2₁ while its width is twice its length…

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Q: 1. Find the value of 80+4 will form an that 3at3, 6at and aso arithmetic progression

A: We use the following condition to find the value of a: The condition for any three numbers will be…

Q: Question 4: Mark each of the following by True (T) or False (F) 1) In a commutative ring with unity…

A: Given statements are ,  (1).   In a commutative ring with unity every unit is  a zero divisor . (2).…

Q: Let G = U(15) and N = U3 (15). If U (n) = {x E U(n) such that x mod k = 1}, then |G/N] = 02 O 12 O 4…

A: Given G=U15 and N=U315. If Ukn=x∈Un such that xmodk=1 We have to calculate GN. Hence,…

Q: Problem 6. A researcher is trying to determine how class attendance and sleep impacts student test…

A: Introduction: A partial spinoff of a feature with numerous variables is its spinoff with recognize…

Q: Question 7 The area bounded by y=1-x² and x+y=1 is submerged vertically in the water with the water…

A: Solution

Q: Find ordinary and exact interest on P10 800 for five days at 8% simple interest

A: We need to find Ordinary and exact interest rate. We have given that , P = 10800 r = 8 % = 8100 =…

Q: 4. Calculate the determinant of the matrix below. 121534 173273 ܐ ܚ ܚ ܐܝ ܝ ܝܕ 122336 31221 -3 111111

A: Let A=11-213-12-1121-313-3-12152-1-121-3-12313431-6-3-2

Q: e a tridiagonal matrix (possibly by matrix are all real. If we (0,2), both converge or both diverge…

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Q: cost bt 30%. How much money per minute does the speeding cost extra in fuel? How

A: Since 15 mph is the value of speeding over the limit, which costs 30% extramoney, therefore 15 is 30…

Q: Q2) If n is a prime number, then prove that Z/(n) is integral domain.

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Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

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Q: Given input matrix x(m,n) and h(m,n), perform the convolution between these two: x(m,n)= 4 5 6 7 89…

A: Given input matrix   xm,n=456789hm,n=111

Q: Suppose f(x) is the function such that for x > 0 we have ƒ(x) = (e* − 1) ln(x) and for x 0 için…

A: A non-stop characteristic in arithmetic is one wherein a non-stop version of the argument reasons a…

Q: Use inductive reasoning to decide whether each statement is correct 1. The product of two odd…

A: 1.  Consider two odd counting number, let they be 3 and 5  the product of 3 and 5 is 15 3×5=15 which…

Q: Suppose n1,n2 are positive integers and gcd(n1,n2) = 1. Then for every integer x, if n1 | x and n2 |…

A: Given that gcd(n1,n2)=1 Then there exist integers m1 and m2 such that          m1n1+m2n2=1 Then…

Q: How did he get the value inside the circle? Can you explain step by step and a clear line? =25 j² •[…

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Q: . Solve the recurrence relation xn = 6xn-1-9xn-2 with tial condition Xo = 1, x₁ = 4 Write the close…

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Four friends ran a race: Ben finished seven seconds ahead of Mike. Noel finished three seconds…

A: Here given as  Ben finished seven seconds ahead of Mike.Noel finished three seconds behind…

Q: Hi? the required answers here in this problem are the x1 , x2, and x3. Not the x, y, and z... can…

A: Solution

Q: Find inverse Laplace of 5s +3 (s-2) (s2+4s+29)

A: We have given that ,  Fs = 5s + 3s - 2s2 + 4s + 29 We need to find Inverse Laplace Transform ,  That…

Q: the rotating body formed by rotating t xx²=2x curves around the y=-2 line. the volume of 6x-x² and…

A: Introduction: The washer method refers to this application of the slicing method. Because the slice…

Q: etermine whether each sentence is a Statement. 1. Start wars. The Force Awakens is the greatest…

A: A statement is declarative statement that can be either true or false 1. Start wars. The Force…

Q: of A, then 7 = 0.

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Q: Task 1 The beam is shown in figure, determine the internal shear force and bending moment in the…

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Q: Write a note on Fourier

A: If the composite signal is periodic, the decomposition gives a series of signals with discrete…

Q: ind two consecutive positive integers whose product is 240 use polya’s four-steps in problem-solving

A: 1. Understand the problem We need to find two positive integers whose product is 240 2. Devise a…

Q: What is a spanning set? If S spans the vector space V, is it necessary that S be linearly…

A: Before moving to spanning set ,I just refresh you about span set, Span set: Let S be a subspace of a…

Q: Given the signal x(t) shown in the figure below, plot and label each of the following signals. (a)…

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Q: A computer shop charges Php 20 for every hour of a computer rental. Represent the computer rental…

A: The computer shop charges Php 20 for every hour  Therefore it can be expressed using function of…

Q: 8. Find the values of Σ 3 and j=2 ΣΩ 1-0 (2j + 1).

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Q: Task 3 Considering the figure shown below, find below; 1) The moment Mp of the shown force about…

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Q: 7 4) (y + x^²³² ) dx =xdy

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Q: Provide an augmented matrix of a system of linear equations having exactly the following solution:…

A: We want to find the augmented matrix for the given system of linear equations.

Q: Problem 2 The graph of f is given. Use it to graph the following functions. 1 0 (c) y = f(-x). (d) y…

A: The graph of the function f is given as

Q: p. These children The other child from each pair was part of the conta omote creative thinking. At…

A: Null hypothesis: μDifference=0  Alternate hypothesis: μDifference>0  This is one tailed test. The…

Q: Find the first three terms of geometric Progression whose Let the first three terms of geometric sum…

A: Given that the sum of the first three terms of a geometric progression is 342 and the product is…

Q: Using Fixed Point Iteration Method manually, Given: f(x) = x^3 + 3x^2 - 1 and its new function as…

A: The function given is as follows: fx=x3+3x2-1 The new function mentioned can be found as follows:…

Q: A machinist is required to manufacture a circular metal disk with area 548 cm². Give your answers in…

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Q: mu = Bu+c as above, where I onvergent. dinate matrix norm || ||.

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Q: A3: For the reaction Ag2S (s) 2 Ag+ (aq) + S²( [Ag*]? (aq), K =2.4×10+, If [S²] = 0.0023M, what is…

A: Solution : Keq  for the reaction, aA+bB→←cC+dD Keq=CcDdAaBb Where, [A] is concentration of A And…

Q: The area bounded by y=1-x² and x+y=1 is submerged vertically in the water with the water level in…

A: Solution

Q: 3. The diagonal of a Square is the sum of ist eight consecutive fibonacci numbers. Find the area,…

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Q: Verify that the functions are solutions to the associated homogeneous differential equation, then…

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