.6 .4 .4 .6 (a) Find A and S to diagonalize the matrix A. (b) What is the limit of Ak as k→ ∞? (c) What is the limit of SAKS-1 as k → ∞? (d) What vector (in words) is in the columns of the limiting matrix in part c.? Problem 4. Let A =

4. Read Theorem 8.10.1 and Example 8.10.2 on Pages 490-491. Ja= 1 Let b= -20 Maximize and minimize the quadratic form q(x₁, x₂) = ax + 2b x₁2 + ax subject to Determine the values of 21 and 22 that give the maximum and minimum. #1 I2 ≤1.

7. Let A, B C R be the sets (-x∞, –1) U [0, 1) U [2, 0) and B = [-2,0.5) U [0.5, 4]. Write %3D down the sets (i) AC = R \ A, (ii) BC = R \ B, and (iii) AN B. %3D

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