Given the matrix A = -2e³t sin(8t) 2e5t cos(8t) 6e³t cos(8t) 6e5t sin(8t)] find A-¹. Express your answer as simply as possible. (Hint: use the 2 x 2 matrix inverse

Q: Express each ratio as a single cor (a) (23.5 + j8.55)/(4.53 – j211) (6) (21.2– j21.2)/(3.54 – 3.54)…

A: Given : (a)  2.35-j8.554.53-j2.11 (b)  21.2-j21.23.54-j3.54 (c)  -7.07-j7.074.92-j.868 Here

Q: PUT THE FOLLOWING EQUATIONS IN EINSTEIN'S NOTATION (CONVERT FROM DEL: g²h 2 a. 0² h = =² 2²h 22h +…

A: The main objective is to write the given PDE in Einstein’s notation.

Q: Find the conjugate of – 3i ( 2 + 5i ).

A: Solution

Q: b) Heron's Formula Area = √5(5-a)(s-b)(s-c), where s = 1/(a+b+c) prove using the following steps.

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Q: kq (1 1 + a

A: This question is based on simplification of equation.

Q: Solve the complex equation sin(z) =−4

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Q: Solve the equation d- = 1- 2X Cof 2X-2 C5 czx 2yCot 2X

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Q: Find the cofactor of the element a13- -2 -1 0 5 4 2 3 5 O A. 3 О В. 19 ОС. -3 O D. 14 3.

A: Given a square matrix, the cofactor of aij is denoted by Aij=(−1) ^(i+j)M where Mij s the minor of…

Q: (A) Given A = 3i + 5j , B = -4i + j Find the à +B , à – B & Ā. B

A:

Q: If a = cos (2ñ/7) + i sin (27/7), then find the quadratic equation whose roots are a = a + a² + a²…

A: If  a=cos 2π7+isin2π7, then we have to find the quadratic equation whose roots are   α=a+a2+a4  and…

Q: The roots of a d.e are -1, 2+√3 What is the solution? y = ex(c₁ cos 3x + c₂ sin 3x) + c3 cOS X + C4…

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Q: for z=1+5i and w=3+i, find z/w Write the result a+bi

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Q: 3 Find ALL solutions of cos 2x = 2 %3D

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Q: Parts (a) and (b) below refer to the numbers z = 1+ 3i and w = -3 + 2i. You must show the work…

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Q: If A = -4 + 2i and B = 3 – 5i, in which quadrant does A + 2B lie?

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Q: 4. If ā= 3i - 2j and b=-5i- j, express 3 a -b in terms of i and j.

A: This is a vector problem

Q: Assume Z₁ = 2-i and Z₂ = 1 + 3i. Find the product and quotient of z1 and 22. Z1Z2 = Z₁/Z2 = + +

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Q: 3.0 Convert the complex number 5+2 i to polar form.. ANS 5.39 21.8°. 4.0 Convert the complex number…

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Q: In a +bi form, find all values of (3i). Which is the principal value of (3i)i?

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Q: [2-3i 5 + 8i 3 – 7i | 9. Find (2 + 3i) A if A = -4 L-6- i 5i

A: We can solve this as follows:

Q: i0 -i8 Sin g=t e-e %3D 2.

A: To show: sinθ=eiθ-e-iθ2i Solution: We know, by Euler's formula: eiθ=cosθ+isinθ…

Q: m(z + 3i) = 6

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Q: 3 4 2 -1 3 nd the inverse of A. heck A.A- = I3.

A: (i) Given that, A=1023542-13 Then we get, det A=A=1023542-13=115+4-09-8+2-3-10=19-0-26=-7 Moreover…

Q: ro 1 -11 •(b) A = 12 l10 1] 1

A: We know that : A.I = I.A-1 ,where "I" is the identity matrix. Therefore, we will use row echelon…

Q: Find the imaginary component if the nth root of  a + bi is determined for a = 9, b = 3, and n = 6.…

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