An orthogonal basis for the column space of matrix A is {v1, v2, V3). Use this orthogonal basis to 25 find a QR factorization of matrix A. -1 - 4 1 A = 3 3 v, = V2 = 3 V3 1 4 3 1 1 6 9 1 2 Q=R= (Type exact answers, using radicals as needed.)

Given the matrix A = 0 2 2 0 2 2 find an orthogonal diagonalization of A: A = QDQ" Enter each matrix Q and D in the format [[a11 , a12 , a13] , [a21 , a22 , a23] , [a31, a32, a33]]. Note: if you need to enter a square root of a number x you can do it as follows: sqrt (x). Alternatively, you can compute matrix entries in the decimal form rounded to 3 decimal places, and enter them in this. Matrix Q: Matrix D:

How do I solve this in steps?

Plz  correct solution  only other wise lots of dislikes.