Solution_for_Midtermexam

# Solution_for_Midtermexam - pro 5[10 pts A 3 If you try...

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pro. 5 [10 pts] ◎문제를 이해하여 A의 역행렬을 구하려는 시도를 하다 틀렸으면[ 3점] I f you try f ind ing the so l or the inverse ma tr ix o f A , bu t have mistakes in a calculation, then you get [3 pts] ◎역행렬을 제대로 구했으면 [6점] (역행렬 내에서 숫자를 세 개까지만 틀렸으면 [5점]) If you find exactly the inverse matrix of A [6pts]

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A = 1 2 - 1 2 0 1 3 4 - 1 - 1 a b depending on the values of a,b R . Sol.) A 1 2 - 1 2 0 1 3 4 0 0 a - 4 b - 2 2 points. (1) a = 4: i ) b = 2 : A 1 0 - 7 - 6 0 1 3 4 0 0 0 0 2 points. ii ) b 6 = 2 : A 1 0 - 7 0 0 1 3 0 0 0 0 1 2 points. (2) a 6 = 4: A 1 0 0 - 6 + 7( b - 2) a - 4 0 1 0 4 - 3( b - 2) a - 4 0 0 1 b - 2 a - 4 3 points. If you divide this problem into two cases, that is, (1) a = 4, (2) a 6 = 4, then you get 1 point. So the total points are 10 points as you know. For each calculation error, -1 point. If you don’t know what reduced row echelon form means exactly, then you just get 1 point for all cases. 1

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## This note was uploaded on 05/19/2008 for the course MS 4032 taught by Professor Anony during the Spring '08 term at A.T. Still University.

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Solution_for_Midtermexam - pro 5[10 pts A 3 If you try...

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