Using Gaussian elimination / Gauss-Jordan row reduction, determine if the given matrix B is invertible. If it is, give its inverse B-¹ and write B as a product of elementary matrices. 1 1 2 0 2 13 2 1 0 4 (b) B= -- 324 -# 0 (a) B = 20-3 8 433 25 11 -12/

Q: 3. Explain why the following limits do not exist. 1 (a) lim x-5 (x-5)2 -x² +3, (b) lim h(x), where…

A: (a) limx→51(x-5)2 Let  f(x)=1(x-5)2 As x approaches 5, (x-5)2 approaches 0, and so f(x) approaches…

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Q: 1. In this activity, you want to find a statement S so that ((AVB)^¬A) → S is a tautology. (a)…

A: a) AB¬AA∨BA∨B∧¬ATTFTFTFFTFFTTTTFFTFF

Q: 3. Consider the linear system 2x1 + 4x2 -12, 4x1 + 5x2 = 24. = (a) Using the formula for the inverse…

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Q: Consider the following initial value problem: y" + 10y' + 21y = d(t − 5) + u₁0(t); _y(0) = 0, y'(0)…

A: Since you have asked two questions, here is the solution of part (a).

Q: For the given matrix C, find the determinant det C and the adjoint adj C. If the matrix C is…

A: Given:-(a) (b) To Find:-We have to find the determinant detC and the adjoint adjC. Also, we have to…

Q: 68. Approximating Pi (a) Show that 4 dx = n. 1+ x2

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Q: 44. (a) Find all vectors v such that (1, 2, 1) X v = (3, 1,-5) (b) Explain why there is no vector v…

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Q: 5. Let X, Y ~ Poisson(X) be independent Poisson rv's with the same parameter >> 0. (a) Find the…

A: Given that  be independent Poisson random variables with the same parameter .

Q: Q4: a) How much money would MR. Saad receive after 3 years if he invests Rs.12000 today at 6% simple…

A: Question: 4(a) How much money would MR. Saad receive after 3 years if he invests Rs. 12000 today at…

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Q: 3. Evaluate the following sums. (a) E (k-5k) (k* – k=-1 (b) E(i+2)3 Zi bi+ 1a %3D 3. i=1 3.

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Q: 8 a) Solve the recurrence relation an an-1 + an-2, n 22, ao = 1, a = 2 %3D

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

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Q: Identity or Equatio 2 cos x = 1- sin x Equation tan“ x - 2 sec? x = 1 Equation

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Q: •1.5 а. х In x dx

A: (a) Given integral is ∫11.5x2lnxdx Here, a=1 and b=1.5 Now, a+b2=1.25 First compute Sa,b, which is…

Q: Suppose T and Z are random variables. a. If P(T> 2.52) = 0.02 and P(T 0.36)=P(Z 0.36).

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Q: On average, indoor cats live to 12 years old with a standard deviation of 2.4 years. Suppose that…

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Q: Solve the following triangles: (a) a = = 10, b = 8, c = 7 (b) A = 90°, B = 20°, a = 7;

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Q: The first two normalized wave functions for a harmonic oscillator are as follows: (a is a constant,…

A: Given Information:The normalized wave function is given as:Ground state: .First Excited state:…