Find JA|, IB|, A + B, and |A + BỊ. Then verify that |A| + |B| # |A + B|. 15 0 1 -1 A = 1 -1 0 B = 5 1 1. 1 1 0 1 1. (a) |A| (b) |B| (c) A + B (d) |A + B|

Q: 2+3

A: Given,        2+3jyx-j=2j

Q: 10g C-x)=)

A:

Q: Find a x b, and c* (a x b) a = 2i + 3j - k, b= -1 + 4j + 5k, c = 2i + 3j + 4k Show all steps

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Q: Find u − v, 2(u + 3v), and 2v − u. u =  (6, −7, 8, 3),       v = (−2, , 7/3, −8/3 , −1)

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Q: L[sih bt) 2.

A: From the definition of Laplace, L(f(t))=Fs=∫0∞fte-stdtSo,L(sin(bt))=∫0∞sin(bt)e-stdt Let,…

Q: For which real numbers x do the following equations hold: (a) Vx + V2x – 1+ Vx – V2x – 1 = V 2а — 1…

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Q: If a = (-1, 1, 2) and b = (1,3,1), then which of the following gives |a - b|? Select one: O√9 O -√9…

A: This question is related to vectors, we will solve it using given information.

Q: 2j (5-j3) B) Given that (2a+ jb)+(b-j3a)=- Obtain the values of a and b. (2+j)(1+j4)

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Q: Are any of these expressions are valid? State your reason for each. If an expression is invalid, you…

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Q: Let a, b, c and d be distinct real numbers. Show that the equation (x – b) (x – c)(x - d) + (x –…

A: Rolle's theorem:-

Q: b) Show that A = 1 3 -2 2 0 -1 3 2 has no inverse. -2]

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Q: (7a - 5b + 2c)- (-6a+8b - 4c) (7a - 5b + 2c) - (-6a+ 8b – 4c) =

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Q: (x* + 1) (x²-2x ti>

A: Given  I=∫dxx2+1x2-2x+1 Apply partial fraction decomposition 1x2+1x2-2x+1=Ax+Bx2+1+Cx+Dx2-2x+1…

Q: 124 · (2x + 4)* 4n +3 5. What is the simplified form of: 2n + 9 8n+11 · 8 • (x + 2)° A) 4 1 C) 2" +1…

A: I have stated the used formulas in the solution.

Q: E[2A+ 3B + C – E + 2D] |

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Q: (2 + j)?

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Q: x-1) 1/6(x+2) 16/3- (x+1) 1/2 x-1) 1/6(x+2) 16/3 (x+1) 1/2 x-1) 1/6(x+2) 16/3 + +

A:

Q: Assume that u v = 8, ||u|| = 6, and ||v|| Calculate the value of (3u + v) (u - 5v). (Give your…

A: u·v=8u=6, v=10

Q: 4- Prove that (a) (b) Ax B|2 = |A|²|B|² - (A.B)² (A x B) (Cx D) = (A C) (BD) - (AD) (B C)

A: Answer is in step 2.

Q: √6 +3√3-√√2+√3 = √x VX ⇒ x = ?

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Q: Evaluate using the substitution method. √ dz 2x4 (6 +x5) 4 2 1 [(26²du) - 15 (6+23)² + = = + C +x5)³…

A: Given ∫2x46+x54dx

Q: 교고 + z-2 I+ -2, b) f(x) = I+2 -3, I = -2;

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Q: 4. Prove that (2x+3y)(4x²−6xy+9y²)+(2x−3y)(4x²+6xy+9y²) is 16x³ equivalent to 1 for x = 0.

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Q: Find the value of each of a,b,c so that 6x3 − 7x2 − x + 2 = (x − 1)(ax2 + bx + c)

A: Given equation is : 6x3-7x2-x+2=x-1ax2+bx+c To find the value a, b, and c

Q: Ex: 5 : R Ex: 5 € → R -5x1 – x2 – x3 T X2 x1 + 4x3 x3 Ex: 5 T -1 Ex: 5 -3

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Q: The solution of 14 - x|>1 is Select one: O A. [-2, 5] O B. ]-00,-5], [-3,00[ OC.J-00,3], [5,00[ O D.…

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Q: 5 Which of the following is the standard equation of the ellipse with vertices at (1, 0) and (27, 0)…

A: To find the standard equation of the ellipse

Q: 21 - 21 +k).(21- 3j- 7k) = %3D 3/4 1/2 3.

A: Let two vectors, be r1 =a1i^+b1j^+c1k^ and r2 =a2i^+b2j^+c2k^  . The dot product of these vector, r1…

Q: u = ⟨−7, −1⟩, v = ⟨−4, −1⟩, find (a) u ∙ v, (b) u ∙ u, (c) || v ||2 , (d) (u ∙ v)v, and      (e) u ∙…

A: Hey, since there are multiple subparts are posted, we will answer first three subparts.