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A: Consider the Equation
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A: In this we have to find the basis of given vector subspace.
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A: We find the coordinate vector.
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A: Question from linear algebra.
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A: According to the given information, it is required to find the coordinate vector.
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A: We will solve a system not equations to find the B-coordinate vector. The detailed solution is as…
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A: To find the orthogonal basis of the subspace of spanned by the vectors 234 and 123 Consider that the…
Q: Let B be the basis of P3 consisting of the Hermite polynomials 1, 2t, - 2 + 4t“, and - 12t + 8t°;…
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Q: Find the coordinate vector ofp(x) = 1 + 2x + 3x2 with respect to the basis B = {l + x,- x, x2} of…
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A: That's easy. Have a great day!!!
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Q: . Find the coordinates of the vector v relative to the ordered basis B. a) B = {x² + 2x +2, 2x…
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Q: (a) Find the coordinate vector of x = - with respect to the ordered basis -4
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Q: (2) Find a basis of the following subspaces and find their dimensions. a + 2c b — с : а, b, с €R a +…
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- h> A Moving to the next question prevents changes to this answer. Question 1 +2x2 -X3 +X4 = 3 -2x1 -3x2 +X3 -X4 = 2 X1 Write the solution to the system of equations in parametric vector form. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).[1 |A = [a1, a2, a3, a4] 2 11 5 0 3 -1 4 0-3 x₁ + x₂ + 3x3 = 0 - 6x₁ + 3x₂ + 3x3 = 0 2x₁3x₂ + 5x3 = 0 Write the solution set of the given homogeneous system of equations in parametric vector form. Show all your work, do not skip steps.
- Find solutions for vectorsFind all solutions, if any, to the linear system Express your answer in vector form.Are the vectors -6 -9x+9x², 3x - 12 + 6x² and 10+ x - 7² linearly independent? choose If the vectors are independent, enter zero in every answer blank since zeros are only the values that make the equation below true. If they are dependent, find numbers, not all zero, that make the equation below true. You should be able to explain and justify your answer. 0= (-6-9x + 9x²)+| (3x - 12+ 6x²)+ (10 + x - 7x²).
- Determine the LU decomposition with pivoting by hand. Зх, — 2х, + X 3 -10 2х, + 6х, — 4x;%3D 44 - - X1 - 2x2 + 5x3 =-26Given the regression equation in 2 forms: (1) yi = B0 + B1xi + ui; (2) yi = xB + ui (where x and B in the 2nd equation are vectors). And both equations are the same. Does vector x = [1 x1] or [x1] (row vector)? Vector B = [B0; B1] (column vector)? DoesA hospital conducted study to determine relation between age and blood pressure of their patients. The table below shows collected data. Find the equation of the least squares using matrix methods. Use your equation in a above to calculate blood pressure of a 75 years old patient. age x434856616770 pressure y128120135143141152
- Are the vectors 3 – 3x + 127?. - 9 – 15x + 3x² and -6 – 18x + 15x2 linearly independent? choose If the vectors are independent, enter zero in every answer blank since zeros are only the values that make the equation below true. If they are dependent, find numbers, not all zero, that make the equation below true. You should be able to explain and justify your answer. 0 = (3 – 3x + 12x?)+ (-9 – 15x + 3æ²)+ (-6 – 18x + 15x²).Use a software program or a graphing utility and Cramer’s Rule to solve (if possible) the system of linear equations.