Introduction to Optimization Lecture Check Problems 2 - Edubirdie

University:
Massachusetts Institute of Technology
Course:
15.501/516 | Accounting
Academic year:

2023
Views:

44

Pages:

1
Author:

Kaylee Kidd

⎡ − 1 − 2 − 3⎤ 1a. − A = ⎢ − 4 − 5 − 6⎥ ⎢ ⎥ ⎢⎣ − 7 − 8 − 9⎥⎦ ⎡3 6 9⎤ 1b. 3A = ⎢12 15 18 ⎥ ⎢ ⎥ ⎣⎢21 24 27⎦⎥ 1c. A + 2B is undefined. ⎡1 4 7⎤ 1d. A = ⎢2 5 8⎥ ⎢ ⎥ ⎢⎣ 3 6 9⎥⎦ T ⎡1 0 1 ⎤ 1e. B T = ⎢ ⎥ ⎣2 − 1 2⎦ ⎡4 6⎤ 1f. AB = ⎢10 15 ⎥ ⎢ ⎥ ⎢⎣16 24⎥⎦ 1g. BA is undefined ⎡1 − 1⎤ ⎡ 4⎤ ⎡1 − 1 4⎤ ⎡ x1 ⎤ ⎢ ⎥ ⎢ ⎥ 2. 2 1 ⎢ ⎥ = 6 and ⎢2 1 6⎥ ⎢ ⎥ x ⎢ ⎥ ⎢ ⎥ ⎢⎣1 3 ⎥⎦ ⎣ 2 ⎦ ⎢⎣8⎥⎦ ⎢⎣1 3 8⎥⎦ ⎡ 1 0 1 ⎤ ⎡ 1 0 1 ⎤ ⎡1 0 1 ⎤ ⎡1 0 1 ⎤ ⎡1 0 1 ⎤ 3. ⎢1 2 1⎥ ⎢0 2 0⎥ ⎢0 2 0⎥ ⎢0 1 0⎥ ⎢0 1 0⎥ ⎢ ⎥ ⎢ ⎥ ⎢ ⎥ ⎢ ⎥ ⎢ ⎥ ⎢⎣2 2 2⎥⎦ ⎢⎣2 2 2⎥⎦ ⎢⎣0 2 0⎥⎦ ⎢⎣0 2 0⎥⎦ ⎢⎣0 0 0⎥⎦

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