2 1 c is a serond dimension complex veetor U and v are elements of c² u= (34 ;, 24 2;), V= (2t;,-2 +) Please Calculate llv

Q: Let a = (-3, –4, –4) and b = (2, 2, 4) . Find scalars s and t so that sa + tb = (20, 4, 32) %3D %3D

A: We have to find the values of scalers s and t for a=-3,-4,-4 and b=2,2,4.

Q: Given that the vectors X1 = () e- -2t ,X1 = (C)e-6t are solutions of a system x' = AX, do they form…

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Q: 7. Let ui (1,4, 2), из (0, 3, 1), из — (1,1, 1), ид — (1, 3, —3) represent four 6. points in the…

A: Since part (i) is very lengthy, we solve first part only. For other part please resubmit.

Q: Describe the set of points in the complex plane satisfies Z? + Z2

A: Introduction: The sum of a real and an imaginary number is a complex number. A complex number is…

Q: 3. A plane in 3D-space system A. is generated by at least three points. can lie in more than one…

A: A plane in 3D space, (a) A plane is generated by at least three points. (b) can lie in more than one…

Q: ü = [1,1, 0] and i = [-1,1,0]. Find the cross product

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Q: Sketch the in the Complex Plane curve given by /z-3) - 1z+3i/

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Q: is not diagonalizable (by similarity) but is condiagonalizable. 4.6.P2 Show that (a) [ (b) [] is…

A: To show: (a) The matix i10i is not diagonalizable but it is condiagonalizable. (b) The matix 1-111…

Q: The scalar  equation of the plane passes through (-1, 3, -2), (-1, 2, -1) and (4, 1, -2) is:   a.…

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Q: Prove i = [- 2,5, 1], = [2,1, – 1] and w = [-6,0, – 12] are orthogonal. %3D %3D %3D

A: SEE ATTACHMENTS

Q: The scalar equation of the plane passes through (-1, 3, -2), (-1, 2, -1) and (4, 1, -2) is: 2x + 5y…

A: Put the points one by one on the given planes and check satisfied or not

Q: 3. Plot the set of points in the complex plane which satisfy |2z + 3 – 4j| > 3.

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Q: 14. The plane passes through (2, 2, 1) and (-1, 1, -1) and is perpendicular to the plane 2x-3y+z=3.

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: A plane in 3D-space system A. is generated by at least three points. B. can lie in more than one…

A: A plane in 3D-space system is generated by three points from which if the first nd second points…

Q: (3,8, 0) is u x v = %3D So the cross product of u = (1, 0, 1) and v =

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Q: Find a scalar equation of the plane that contains the points (−1, −3, 1), (1, 0, 3), and (2, 7, 0).

A: We are going to solve

Q: FBShow that the vectors (taken from a vector consisting of all functions of the real numbers) are…

A: The objective is to show that the vectors are linearly independent.

Q: §5.1, Exercise 17. For which scalars a, b, c do the solutions to the equation ax + by = c form a…

A: We have to find for which scalars a,b,c do the solutions to the equation ax+by=c from a  subspace of…

Q: Let Q be the cube with vertices {(1, 1, 1), (1, 1, −1), (1, −1, 1), (1, −1, −1), (−1, 1, 1), (−1,…

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Q: 8. Determine the dot product of u = [5,-3,1] and v=| 1v=[2,-2,3].

A: Please see the below answer.

Q: Find the equation of the plane parallel to the line r = 2i + t(−4i + 3j + 8k) and containing the…

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

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Q: (1,1, 1), ид points in the xyz-space, and S = {u1, u2, U3, U4}. 7. Let ui = (1,4, 2), и2 — (0, 3,…

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Q: Find the locus of the set of points z in the complex plane for which z - 4 4 Iz +6-+ t| %3D

A: Use the property z1z2=z1z2 and z=x2+y2. Take z=a+ib. So,  z-4z+6+i=4z-4z+6+i=4

Q: 2) Show that the three columns on the left all lie in the same plane: 0-0-0-0 If the right hand side…

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Q: 8. Consider the quadratic form 5x,² +2x, +4x,x, (i) Reduce the given form to sum of square form by…

A: Solution: The quadratic form is 5x12+2x22+4x1x2 In matrix form A=5222 (i) Calculation of sum of…

Q: Find the four roots of z=1- jV3 (polar form only)

A: We need to find the four roots of : z=1-j3

Q: Suppose that a parametrization for the solution set to the equation Ax = b is -27 2 -3 + x2 -4 + x3…

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

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Q: Find the general parametric solution for the augmented matrix form. Identify the homogenous solution…

A: Solution: AX=b A=22341-3,     X=xyz,     b=03

Q: Find the singular value decomposition of the mat

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Q: What is the maximum of || Ar||∞ if ||r||∞ = 1? What is the maximum of ||Ar||2 if |-|2 = 1? For…

A: A=2123 (a) We know that Ax∞≤max∑ka1k,∑ka1k,…∑ka1k when x∞=1. Ax∞≤max2+1,2+3=5 The maximum of Ax∞ is…

Q: ints to quadric polynomial surface similar to photo? can use some least square process with a…

A: The least square method is used to fit: Straight Line Second-degree parabola A polynomial of kth…

Q: Find the equation of the plane with the given description in scalar form. Passes through (1, –1,2)…

A: We have to find the equation of plane which is passing through given point and parallel to the given…

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

A: Consider the given matrix as, 13-4701-24 Now this matrix can be write in the form of Ax=0…

Q: Prove that the centroid of any triangle is located at the pointof intersection of the medians.…

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Q: Find the particular number of orthogonal transectories of x2+cy2=1 passing through the point (2,1)

A: Given equation is x2+cy2=1........1. We have to find the particular number of orthogonal…

Q: Without using determinants, show that {(2, –x,,3x²,x³} is a basis for Ps then find dimension for P3

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Q: Find a basis for the set of vectors in R^3 in the plane 3x - 2y + z = 0. Also state the dimension.

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Q: Find scalars a, b, csuch that au + bv + cw = = (-6,12,4) u = (-1,0,2), v = (2,2,–2), w = (1,–2,1)

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Q: 9. The triple scalar product is given by (u x v) w = E,",V,W Expand this equation X V and simplify,…

A: Let u=(u1 , u2 , u3 ) and v=(v1 , v2 , v3 ) and solve it.

Q: 3. In each case you are given the RREF arising from a certain system of equations. Write out the set…

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Q: 3 FIND TiHE GENERAL FORM (SIMPLIFIED AS WELC) OF THE PLANE (1,0,5), (2,10, 6) (-),2,3) CONTAINING

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Q: 9. Find the scalar equation of the plane that contains these points: A (1, 13, 2), B(-2, -6, 5) and…

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Q: 6. Find a parametric representation of the line of intersection of the two given planes. 2x+ y- z= 6…

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Q: Find the scalar product of x and y x =(-1, 0, 2) and y =(-7, 7, 3)

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Q: Consider the plane x1 + 2x2 + x3 = 0 with basis S = {(-1,0, 1), (-2, 1,0)}. If (x)s = (2, -1), find…

A: In this question, we need to find the vector x on plane for the given condition.