Consider the optimization problem 1 minimize Q subject to Ax=b, where QE Rnxn, Q = Q...

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Consider the optimization problem 1 minimize Q subject to Ax=b, where QE Rnxn, Q = Q¹ > 0, A € Rmxn, and rank A = m. a. Find all points satisfying the Lagrange condition for the problem (in terms of Q, A, and b). b. Are the points (or point) global minimizers for this problem? Consider the optimization problem 1 minimize Q subject to Ax=b, where QE Rnxn, Q = Q¹ > 0, A € Rmxn, and rank A = m. a. Find all points satisfying the Lagrange condition for the problem (in terms of Q, A, and b). b. Are the points (or point) global minimizers for this problem?