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1 0 0 OT CO NH 121 1 0 Given a size 4 x 4 matrix A = 8 You are requested to multiply A
1 0 0 OT CO NH 121 1 0 Given a size 4 x 4 matrix A = 8 You are requested to multiply A from the left by an elimination matrix L1 = 131 O 1 so that the 2 5 141 0 0 off-diagonal elements in the first column of the product L1 A become all O's. That is 3 1 LIA = P22 P23 P24 OOON P32 P33 P34 P42 P43 P44 The unspecified pij denotes the (i, j)-th element in the product of L1 A. First, make sure you can see that the 1st row in L1 A must be the same as that of A due to the form of L1. If you cannot see this, just do the matrix-matrix product of L1 A to get its 1st row. What are the li elements that can achieve this elimination in the first column of A? 121 131 141 Once you find L1, carry out the product L1 A to determine the following requested elements: P22 P23 = P24 = P32 P33 P34 = P42 P43 = P44
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