() Consider matrix A = and vectors x = and y = Calculate matrix B = (A – A")² and vector w = Bx. Then, evaluate the scalar product w · y. [Please enter your answer numerically. You will be marked correct as long as what you enter is within 0.5 of the correct answer.] Answer:

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Q: Prove that I = is not a prime ideal of Z[i].

A: Solution :-

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A: To prove: There are infinitely many rational numbers between a and b, where a,b∈ℝ, with a&lt;b.

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Q: If A is a square matrix such that A =1, then A'is equal

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A: Let , z = 5cos 30° + sin 30° which is in polar form of complex number. Compare with , z = r cos θ +…

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Q: The value X2 .2 -2 x1 + 6 x2 + x3 = 9 - x1 +x2 + 7x3 = -6 4x1 — Х2 — Хз%3 3

A: Solution :       -2x1 + 6x2 + x3 = 9 . . . . . . . (1)        -x1 + x2 + 7x3 = -6 . . . . . . . .…

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A: Given that f:G→G be a function such that fx=axa

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Q: 2. Given U = 7i – j+ k and W = -2î – 5j + 6k, compute a) Proj w V and b) Proj v W

A: To find  The projection of given vectors.

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Q: (a) (AN B)':

A: This is a problem of set theory.

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Q: After 5 iterations of Fixed-Point Iteration Method, solve for one real root of +2z + 10x-20 =0 using…

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Q: (iii) 1 + 1 33 + ... 22 + 22 33+

A: given series test for comparison tests - apply this comparison test to a given series the auxiliary…

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Q: 4. у + 2x &y(1) = 2. y3

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Q: 1 1 1 1 2. -1 1. A = -1 2 1 1 3 3 2 0. -10 0 -10 -5 0 0. 2. B = 10 2. 4 -5 -4 --2 From the given of…

A: To find [(AB) ^-1]^T

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Q: Since we have sin(r +y) sin(r) + sin(y), the function sin(r) is a linear transformation.

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Q: 5- Graph the following function( Y=-1/4 log ,(3x-6)+1

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Q: what Is the gimplest form of 5i (1-i) (2-i) (3-i) a. -10i -5/3 C. b. -8i d. -V½

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Q: ft) = cos 2t + sin 2t + cosh 2t + sinh 2t 2s? (s+2) А. (s2 +4)(s2 -4) 2s? (s-2) С. (s2 +4)(s2 -4)…

A: We find the Laplace Transform of  f(t)=cos(2t)+sin(2t)+cosh(2t)+sinh(2t).

Q: Given that; z=ilitil (1-2i)² and (Z-áilt Plz-3i) = 7. fiml He Vele for Pard 7 O TECNO

A: Solution

Q: -2 -3 A = -3 -2 AB

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Q: Evaluate the following complex expressions. Present your answers in the trigonometric orm. Box your…

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Q: The area under the curve is negative, if z value is also negative. True or False?

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Q: Problem 4. Does there exists a solution xE Z to the equation 3x2 + 11x = -23 mod 61?

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Q: go SL x* dy- dy ax where L is segmeut bekueeu two pailuts (9,0) aud (1,0)

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Q: Let R be a commutative ring with 1 ≠ 0. Prove that R is a field if and only if 0 is a maximal ideal.

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Q: Estimate one real root of f (z) = 0.95z - 5.9e + 10.9z -6 using three iterations of Newton Raphson…

A: This is a problem of Numerical analysis.

Q: Let I and J be ideals of R. Prove that if I ∩ J = {0}, then rs = 0 for r e I and s e J.

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Q: f(t) = t? cos 6t 2s(108-s?) А. (s2 -36)3 2s(s? -108) C. (s2-36)3 2s(108-s2) В. (s2+36)3 2s(s?-108)…

A: Given function f(t)=t2cos6t. We have to find the Laplace Transform. Formula will use 1.…

Q: The system of linear equations: X1 + 2x2 + 3x3 = 2 X1 – x2 + 2x3 = 1 Select one: О а. is an…

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