Find orthonormal bases for the column space of A: A = 0 -3 and b = 1 1 3 3 0 91 = and q2= = Then compute the projection of b onto that column space: P p= 9. 9.
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- Find an orthonormal basis for the column space of Question Help: Video -1 -11 -4 -1 0 2Use the Gram-Schmidt process to transform the following sequence of vectors into an orthonormal sequence of vectors with the same span. 4 ý 2 4 1 -8 Orthonormal sequence:{ Enter your answer as a comma separated list of coordinate vectors, such as , .What is the largest eigen value of the multiplication table from 1 to 10 treated as a 10 by 10 square matrix?
- Write down the quadtatic form corresponding th the matrixLet A be the matrix of the quadratic form 9x} + 7x3 + 11x – 8x1x2 + 8x1x3 It can be shown that the eigenvalues of A are 3, 9, and 15. Find an orthogonal matrix P such that the change of variable x = Py transforms XTAX into a quadratic form with no cross product term. Give Pand the new quadratic form.Consider the two bases B= for R². 2 (AA) -1 and C=113759 (1 P F2 a.) Compute the change-of-coordinates matrix BEC. b.) Compute the unique vector X ER^ such that [x]c=1 [X]B. (.) With x the Some vector from port (b), Compute 4