Find the parametric form of the equation of the plane in R4 passing through the points (1,3,2,1), (0,1,−2,0) and (2,1,−2,5).
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I'm currently encountering difficulties in solving this problem and I'm seeking your assistance. The problem specifically requires a solution using only matrix notation, with no other methods allowed. Could you kindly provide me with a detailed, step-by-step explanation using matrix notation to guide me towards the final solution?
Find the parametric form of the equation of the plane in R4 passing through the points (1,3,2,1), (0,1,−2,0) and (2,1,−2,5).
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- I'm facing a challenge with this problem and I'm hoping you can help me. The problem needs to be solved exclusively using matrix notation, without any alternative methods. Can you please provide a thorough step-by-step explanation, utilizing matrix notation, to help me reach the final solution? This has to be done using the matrix way again a step by step full detail going into the solution please don't miss any steps so I can understand it better, using the matrix way question: Find the parametric form of the equation of the plane in R4 passing through the points (1,3,2,1), (0,1,−2,0) and (2,1,−2,5).Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below. 3x, + 3x2 + 6x3 = 12 - 6x, - 6x2 - 12x3 = - 24 - 7x + 14x3 = 14 3x, + 3x, + 6x3 = 0 - 6x, - 6x2 - 12x3 = 0 - 7x2 + 14x3 = 0Find all solutions, if any, to the linear system Express your answer in vector form.
- Pls help ASAP. If it has at least one solution, pls covert the matrix into parametric form, otherwise just give the matrix in row echloen form.Write the solution of the given system in parametric vector form. xi + 3x2 + x3 = 1 -4x1 – 9x2 + 2x3 = -1 -3x2 - 613: -3Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below. 3x₁ + 3x2 + 6x3 = 12 - 6x₁ - 6x₂ - 12x3 = -24 - 7x2-21x3 = 14 Describe the solution set, x = OC. X= your choice. (Type an integer or fraction for each matrix element.) O A. x= O B. X=X₂ O D. X=X₂ 2 -2 0 + X₂ + X3 3x₁ + 3x₂ + 6x3 = 0 - 6x₁ - 6x₂ - 12x3 = 0 - 7x₂ - 21x3 = 0 1 -3 1 G X₁ of the first system of equations in parametric vector form. Select the correct choice below and fill in the answer box(es) within X2 X3
- A parabola is a quadratic equation of the form y = ax? + bx +c . Using matrix and matrix operations, find the equation of the parabola that passes through (-5, 121) , (0, 5) and (4, 56.2).ADVANCED MATH (You may use excel for solving. Rate will be given.) See the following system of equations: 2x - 6y - 4 = -5 2x - 10y - 9z = -4 -x + 6y + 5z = 3 Using the L-U decomposition, identify matrices L, U and y from the given equations. Answer the vector x and y in fractional form: Vector y y1 y2 y3 Vector x x1 x2 x3A parabola is a quadratic equation of the form y = ax2 + bx +c . Using matrix and matrix operations, find the equation of the parabola that passes through (-5, 121) , (0, 5) and (4, 56.2).
- Describe and compare the solution sets of x₁ +5x₂ - 2x3 = 0 and x₁ + 5x₂ - 2x3 = -7. X1 E Describe the solution set, x= x₂ of x₁ +5x₂ - 2x3 = 0 in parametric vector form. Select the correct choice below and fill in the answer boxes within your choice. X3 (Type an integer or fraction for each matrix element.) OA. X= O B. X=X3 C. X=X₂ O D. X= + X3 X1 E x2 of x₁ + 5x₂ - 2x3 = = -7 in parametric vector form. Select the correct choice below and fill in the answer boxes within your choice. x3 (Type an integer or fraction for each matrix element.) OA. X= B. X= +X₂ Describe the solution set, x = O c. x= O D. X=X₂ +X3 +x₂ + X3 +X3 Which option best compares the two equations? O A. The solution set of the second equation is a plane perpendicular to the line that is the solution set of the first equation. O B. The solution set of the second equation is a plane parallel to the plane that is the solution set of the first equation. OC. The solution set of the second equation is a plane parallel to…I've been facing difficulties solving this problem, and I was wondering if you could assist me. It needs to be solved exclusively using matrix form; no other methods are allowed. Could you please guide me step by step in matrix form until the final solution?A football was punted. Its height h above the ground at time t is given by the following table and can be modeled by a parabola of the form h(t)=at2+bt+c Time t (seconds) Height h (feet) t=0.5 31 t=1 51 t=2 67 (a) Write three equations using the given information. (b) Find the equation of the parabola. Show the matrix setup. (Note: RREF method may not be used here.) (c) Find the time and the height of the ball when it is at its maximum height. (d) Find the hang time of the punt (the time it takes before the ball hits the ground). Write an appropriate equation that leads to your answer. ------------------------ QC: The Fresh Sandwich specializes in chicken, fish, and ham sandwiches. In April, May, and June 2012, they sold the following quantities. Write three equations using the given information and then find the selling price of each of the three types of sandwiches using appropriate matrix operations. Show the matrix setup. (Note: RREF method may not be used here.)…