5. Solve the following set of Equations using Cramer's rule x + 2y + 3z = -5 -x - 3y + z = -14 2x + y + z = 1

Q: If you use Cramer's Rule to solve the following linear systen 21+2x2 6 %3D then T2 is equal to T1-…

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Q: Compute A?x and A3x the correct way: ´1 0 () 0 1 A = 3 0 2 0 1 1 1

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Q: 1. If x=27-3k and y = i +5j -4k, express each of the following in terms of i, j, k b) 2(3x+y)-3(4y…

A: Given x→=2i→-3k→ & y→=i→+5j→-4k→To write expression in terms of i→,j→,k→:

Q: verify the given equation. 16.∞∑n=0an(x−1)n+1=∞∑n=1an−1(x−1)n

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Q: fx >2 e every wE W.

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Q: The contingency table to the right shows choices for paint colors and finishes at a hardware store.…

A: Solution-: We find Cramer's V=?

Q: 1. Use Cramer's Rule to show the solution of -24 +7x-10y 1+ (3/7) y = (-5/18)x

A: We have to solve the given system of equation by Cramer's rule

Q: Find the following values using Cramer is rule. 2x+2y-z 2 x-3y+z =-28 -x+y= 14

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Q: Solve the following set of simultaneous equations using Cramer's rule: X1 + X2 + X3 = 6 X1 – X2 + X3…

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Q: Let C z-1=3 and1 = §, = dz. Then

A: The solution is given as

Q: Solve using Cramer's rule. 2x+8y = 11 4x+6y = 3 %3D %3D

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Q: X(1) h(t) 2 t 4

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Q: Solve the following using Cramer's Rule, 5x + y – z = -7 2х — у — 2z %3D 6 3x + 2z = -7

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Q: 2. Solve the following Cauchy problem: u = u -0 0, u(x, 0) = 1 -1, u(1,0) = 4r, -00 <I< 00.

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Q: QUESTION 1 Ifliafix) -3 and Linf) - F5) -5 -5 -4, then f5): x-5 O annar be denermined. O equals 3 O…

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Q: If the points P(-4,2, 1) P3(2, c, 7) and P3(-1,1,4) are collinear then the value of c is O 1 O -2 O…

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Q: Theorem 9 Let {um}=-5 be a solution to Eq. (18) and suppose that u-s = a, u-4 = b, u_3 = c, u_2 = d,…

A: We are asked to show the following equation, u8n-3=c2ne2n∏i=12nic+a∏i=12n-1ie+c Using the identity,…

Q: Find out the values of X1 and X3 from the following set of equations using Cramer's rule: 2X,…

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Q: Solve the following system of equations using Cramer’s rule [5] { −3? + 2? − 6? = 6 5? + 7? − 5? = 6…

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Q: у" — бу" + 11у' — бу — 4sin7х + 5 - %3D -

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Q: Solve by using Cramer's Rule: Зх -5у %3D 32 5x+4y O A. (19, 5) B. (14, 2) %3D OC. (4,-4) O D. (9,…

A: Cramer's rule is a method which uses determinants to solve systems of equations that have the same…

Q: oblem 7. Solve the following simultaneous nations using Cramers rule. x+y+z=4 2.x – 3y+4z = 33 3x –…

A: Cramers rule

Q: 3) Compute A-1 using adjoint. -1 -2 -3 -41 1 2 3 Let A = 5 1 0 0

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Q: Q.2 Solve the following set of equations x + 4 y + 3z = 2, 2x - 6 y + 6z = -3, 5x - 2 y + 3z = -5…

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Q: c) If det (M) = 2 and det(N) = 3, calculate: %3D %3D i det (NM-'N). 1 ii det (M©N*(M-1)^(N-1)³).

A: Given that, detM=2 and detN=3. Results Used: detAB=detAdetB detA-1=1detA detAn=detAn (i) To…

Q: 1.) Use Cramer's rule to solve (if possible) 14x, - 21x, – 7x3 - 4x, + 2x2 – 2x3 = 56х = -21 , —…

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Q: 1. Use Cramer's Rule to solve the below given problem. 4 5 -2 11 A = 7 12 -6 X = 49 2 6 0 8

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Q: 3 1 If A = show that A²- 5A + 7I = 0. %3D -1 2

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Q: 4. Use Cramer's rulc to solve the lincar systemn. r+ 3y 2 5.r +7y 3

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Q: B 2. 7.2.Preve that CD= 24 SnR Vzt2 cosx

A: Use trigonometric ratio to solve

Q: (Chapter 3.2. Ex.# 49) Show that if fi(x) is O(g1 (x)), f2(x) is O(92(r)), and f2(r) # 0 and g2(r) #…

A: Given: If f1x is ⊝g1x, f2x is ⊝g2x, and f2x≠0 and g2x≠0 for all real numbers x&gt;0.

Q: 3 If A = 1] show that A² - 5A + 7I = 0. %3D %3D -1 2

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Q: Let a-2-3j.kb-41-) and c-1-31-2k. If d is such that da-9. db-7 and dc-6, then d is equal to 01-31-2…

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Q: 5. Use the in verse motrices to find CAB) (AD ond (2A 22 ー1 4 /- 3. B. 11 2. 3. 3. 2. 2- 2. N/-

A: Given The given inverse matrices are A-1=12114-121123432-2,…

Q: Let k be a real number and (M) be the following system. (M): fx-y = k-1 2x- y = 0 Using Cramer's…

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Q: In applying Cramer's rule, what does it mean if D = 0?

A: Cramer's rule is a method which is used to solve the system of equations having same number of…

Q: x, and x, in terms of t.) 2 1 -1 1 1 -1 1 2 1 2 2

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Q: 8) Use Theorem 7.2.1 (Table) to find the following: 3 b. E s' +9s

A: We need to calculate the Laplace inverse of 3s3+9s . We will use the two formulas ,…

Q: The set of solutions to z^6=−i is?

A: We have to find The set of solutions to z^6=−i.

Q: 2. Solve the following Cauchy problem: u, + 2ru, - u=a+3ye" with u= 2r - 1 on y=-

A: We have to solve the given Cauchy problem.

Q: Find the following values using Cramer is rule. 2x+2y_z=2 X_3y+z=_28 _x+y=14

A: In linear algebra, Cramer's rule is an explicit formula for the solution of a system of linear…

Q: Write equation for each ellipse

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Q: If θ̂ is a point estimator of θ, prove that MSE(θ̂) = V(θ̂) + (B(θ̂))2

A: We have given that θ̂ is a point estimator of θ. We know that  MSE(θ̂) = E((θ̂ - θ)2 )

Q: QUESTIUN 27 Solve by using Cramer's Rule: -2x+6y %3D 4x-12y O A. Not independent ОВ.(-72, -70) O…

A: Please see the explanation below