Question: 4 2 Let y = -7 U1 = - 5 US = 1 Find the distance from y to the plane in R spanned by

4 2 Let y = -7 U1 = - 5 US = 1 Find the distance from y to the plane in R spanned by u, and u2. 3 The distance isFind the matrix at the quadratic term. Assume a: is in R3. a. 83:? +113 4x 10:13:: +1Bx1x3 Bx2x3 '1 531K: +4K1X3 4319:1233 a. The matrix of the quadratic form 8x? + 711% 4x 10x1x2 + 181(1)::3 8x233 is D 5 -6 -6 Let A = -6 5 -6 and v = 1 Verify that 11 is an eigenvalue of A and v is an eigenvector. Then orthogonally diagonalize A. - 6 -6 5 The number 11 is an eigenvalue of A with eigenvector O (Type an exact answer, using radicals as needed.) The vector v = is an eigenvector of A with eigenvalue - 7. (Type an exact answer, using radicals as needed.) Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. Enter the matrices P and D below. (Use a comma to separate matrices as needed. Type exact answers, using radicals as needed. Do not label the matrices.)

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