find a homogeneous linear system of two equations in three unknowns whose equation in three unknowns whose solution space consists of those vectors in R^3 tha are orthogonal to a=(-3,2,-1) and b=(0,-2,-2)

Q: Pick two random looking and linearly indepen try to find a vector w which is orthogonal to bo…

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Q: 4. Express PQ-RQ+SR-PS+RS as a single vector.

A: Expression

Q: 4. A = [ 5 7 5 ²]. b = = ['₁ 5 12 17

A: Given,

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Q: rewrite ax^2+by^2+cz^2+dxy+exz+fyz+gx+hy+iz+j=0 in  standard form by matrix

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Q: x(1-х)у" - Зу' + 2у %3D0

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Q: 5. i ',, Find the solution space and write it as a linear combination of vectors. - x3 + 5x4 X2 +…

A: Given that x1-x3+5x4=0 x2+4x3-3x4=0

Q: 7. (а) X1 3x2 = 1 2x1 - 6х, — 2 | %3D

A: The solution is given as

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Q: (a) Find the general solution of a system of equations that its augmented form is row equivalent to…

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Q: Consider the basis B = {t^2 −2t+1, 4t^2 −5t+3, 3t^2 +2t} for P2. Compute (2t−1)B by setting up and…

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Q: () - - (a + bt c+ dt) e *() -- () a (:) - (-) A d - c

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Q: 1 2 3 1[1 1 07 M = 20 0 1 3|1 0 0

A: Write the relation M as a set of ordered pairs. If x,y is an ordered pair in M , then (y,x) is and…

Q: If A is invertible, i.e., for any given r.h.s. vector b, the system Ax = b has a solution. How can…

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Q: A' is a 1X3 matrix. The least square solution to the equation A'x=28 is the vector x* =[1 2 3]'…

A: Given that, A' is a 1×3 matrix. A'x=28 ,x*=1 2 3'

Q: Find x such that the matrix is singular. ^-[34] A = -6 -4 X =

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Q: х2у" + x(x-1)у' + (1-x)у %3D 0

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Q: -24 y"' + 4y" + 9y'+ 10y = when x = y = 0, y' = -4, y" = 10

A: y′′′ +4y′′ +9y′ +10y=−24e−x  Linear non−homogeneous differential equation with constant…

Q: 2.) Write the solution set of the given homogenous System in parametric vector form. 2x1 + 2x2 + 4x3…

A: We are given the homogeneous system and we have to solve the given system in parametric from.

Q: Find two linearly independent solutions of 2x²y" - xy + (-4x + 1)y=0, x > 0 of the form y₁ = x¹(1+…

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Q: Q1) Find equation of line normal to plane 3x + 2y - z = 5 and pass through Origin point. Q2) Solve…

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Q: ( -) Solve the system 1 -2 5 da i, with the initial condition (0) = dt 2 5 x1 = -2e^(3t)+7e^(3t) 22…

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Q: Can someone help me solve this problem with all the steps thanks

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Q: 6. A = 4 7 3 6 b = 10 5

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Q: If there are no vectors in the set S = {a1; a2; a3} from R^3 who is a multiple of one of the other…

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Q: if the chractrestic polynomial of a matrix A is p(^) = (^ +1)(^ - 2)2 then det(-A) +tr (A) = 1 7 -2…

A: As we have 3 roots of characteristics polynomial.

Q: In R^3, consider the three points A(2, -1, 4), B(3, 4, -2) and C(-1, 2, 7). (a) By an appropriate…

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