Verify that det A = det B + det C, where Uj + vj U2 + v2 Uz + V3 A = A22 аз1 A32 --EE-E: A12 A22 V2 A22 U2 аз1 аз2 V3 аз1 аз2 Note, however, that A is not the same as B + C.

Q: Reduce the system to upper triangular for by two row operations. 2x+3y+z = 8, 4x+7y+5z = 20, -2y+2z…

A: Given Data: Equation 1: 2x+3y+z = 8 Equation 2: 4x+7y+5z = 20 Equation 3: -2y+2z =0 The augmented…

Q: Civen that 1 00 7 -4 -3 3 2 19 -1 1 4 0 1 0 4 3 -1 4 3 0 0 1 4 3 write 4 as a linear combination of…

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Q: Express (-1,2,4) as linear combination of x = (-1,2,0), y = (0,-1,1) and z = (3,-4,2) in the vector…

A: Definition used -                       If we have to write a vector as a linear combination of…

Q: Write v as a linear combination of u, u2, uz, where (a) v = (4, –9, 2), u = (1,2, –1), uz = (1,4,2),…

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Q: Suppose that Rob and Big both raise animals and sell them. Because Rob and Big have different…

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Q: A tennis player makes a successful first serve 51% of the time.  If she serves 9 times, what is the…

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Q: Find the best approximation to u = (3,-7, 2, 3) as a linear combination = (2,-1,-3. 1) and =…

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Q: The distance of a point in the 3-D system from the origin A. is defined by the absolute value of the…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 1. Verify whether the vector X is a solution of the given system where 2. X' = X; X=

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Q: Suppose Ax = b has a solution. Explain why the solution is unique precisely when Ax = 0 has only the…

A: Answer

Q: 1. Verify whether the vector X is a solution of the given system where X; X =| 3 X' =

A: Given:

Q: Suppose the solution set of a certain system of equations can be described as x1 = 5 – 4t, x2 = -6 –…

A: Given solution set is x_1=5-4t, x_2=-6-2t ,x_3=4t-5 ,x_4=3t-3 . Now we will use the vector notation…

Q: as the sum of two orthogonal orthogonal to ư

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Q: Let ui = (3, –1,3, 3), u2 = (-2,3, 1, 3), and uz = (0, –1, -1, –1). Write v = (8, –9, 1, –1) as a…

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Q: The distance of a point in the 3-D system from the origin A. is defined by the absolute value of the…

A: Given :                To find the distance of a point in the 3-D system from the origin

Q: Verify whether the vector X is a solution of the given system where 2. X' X; X: %3D 1 0

A: The given differential equation is X'=2110X. Note that, X=13 et+4-4…

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Q: Find ||u||, ||v ||, and ||u + v||. -(-1. 금), v-(2.-3) v = (2 - ± ) u = 4 (a) ||u|| (b) ||v|| (c) ||u…

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Q: system consist of 4 component in serial, if the 1st component reliability is 80%, 2nd component is…

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Q: find u ·v. u= [ 1,√2,√3, o],v= [ 4, -√2,0,-5]

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Q: Describe all solutions of Ax= 0 in parametric vector form, where A is row equivalent to the given…

A: The solutions are x1=3x4, x2=8+x4, x3=2-5x4 and x4 is free. Write the solution as a column vector.…

Q: choose one 1. r(t) = (-5 – t, -5 + 2t) and s(t) = (-5 – 3t, –5 + t). choose one 2. r(t) = (2 – 3t,…

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Q: Is {(3, 4)}Linear combination of {(1, 2), (2, 4)} show all the work and state why or why not.

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Q: for power substitution method, next step is * For Sdz 16 – 5(u²)â + u² -(2udu) 4 – u? r6 – 5u² + u?…

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Q: 2х, - х, + х, -2х, - 3х, + х, %3D -5.5 2х, - х, + х, + 5x, %3D 7 2х, 2) 2х, Зx, + 3x, 4х, + 3x,…

A: Instead of given variables I choose  a ,b,c,d,e,f as new variables

Q: Express the product Ax as a linear combination of the column vectors of A. 2 3][3 -4 + 2 3 5 + 3 |…

A: To find out the correct option.

Q: Determine whether u= (-1, 11) is a linear combination of x =(1,3) and y=(2,-1).

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Q: s the set of the vectors (:). (2) 1 ) --(;) --() u2 4 U3 = 1 1 1 rthogonal? What is the expression…

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Q: Let u = (7, -10, -8, 8) and v = (3, 6, -6, 7). Find ||u projyu||.

A: By Bartleby policy I have to solve only first one as these are all unrelated & lengthy…

Q: Find mZB. 141° 72° B 47° mZB %3D Submit

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Q: Verify that the vector X is a solution of the given homogeneous system. -1 X' = 4 X; x = -3t/2 1 (*)…

A: Given the homogeneous system is x'=-1141-1x x=-12e-3t2

Q: Determine whether u and v are orthogonal, parallel, or neither.

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Q: The personal computer industry is very fast moving and technology provides motivation for customers…

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Q: uz = 1, u2 Uz = u4 u7 -7 , us Compute projs u2, where s = span{u3, U4}.

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Q: Determine if u = (0,3, -4) and v = (1, -8, -6) are orthogonal, parallel or neither.

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Q: Verify that the vector X is a solution of the given homogeneous system. 1 -1 x-( )xx-(7)** X'= 4 X;…

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Q: Detrmine Duf(4,-1,6) for f(x,y,z) = e^x2y  +  4zx3   in direction of (-3,2,6).

A: The given function is f = ex2y + 4zx3 To find directional derivative at (4, - 1, 6) in the direction…

Q: Write v as a linear combination of u,, u2, and uz, if possible. (If not possible, enter IMPOSSIBLE.)…

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Q: Suppose u = (1,0, –2), v = (-6, –-15, -3), and w = (4,10, 2). W

A: Write u and v in vector form.

Q: Please help me fill the blanks, thank you! Combination Coin 1,Coin 2 OV EV D in % H,H 27…

A: The objective is to fill in the blanks,   OV EV D in % H, H 27     H, T 23   2% T, H 21 25…

Q: For Exercises 11-26, use Cramer's rule to solve each system or use another method to determine that…

A: since you have posted multiple questions , so I'll solve first one for you, for rest question's…

Q: 6. Write as a linear combination of the vectors

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Q: qquad BC = 6x + 4BC=6x+4B, C, equals, 6, x, plus, 4, \qquad AC = 52AC=52A, C, equals, 52, and \qquad…

A: The solution for the above figure is shown below.

Q: 1. For the cross product between vectors a=[h, -1, 8] and b=[k, 5, 7] to be axb= [-47, -5, 17], what…

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Q: Suppose that the solution set of the homogeneous system Ax = 0 is given by the formulas x - - 5r +…

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Q: You may recall that in recent National Football League history, Tom Brady and the New England…

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Q: Express (-1,2,4) as linear combination of x = (-1,2,0), y = (0,-1,1) and z = (3,-4,2) in the vector…

A: A vector is a quantity that has both magnitude and direction. It can be also defined as the…

Q: Suppose ū = (3, 2, 4), v = (-3, –3, 1) and w = (2, –4, 1). Then: i - w= v . w= ủ · (v+ w)=

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