[10 21 [0 101 Let A =-110 and B =-101. Solve the system AX = B by row reduction for X. Do not try to 13 1 8 determine A- as an intermediate step. |-1 4 1]

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Chapter2: Second-order Linear Odes
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Lİnear algebra

[10 21
Let A =|-110 and B =|-10 1 |. Solve the system AX = B by row reduction for X. Do not try to
[3 1 8]
[0 10
[-1 4 1]
determine A-1 as an intermediate step.
(Hint: Suppose after row reduction RX = C and R = r2 and X = [x1 : x2 : x3]. Express the elements of matrix C in
terms of ri, xj. Note that RX = C may be solved by using R[x1 : x2 : x3]
= C and solving three linear systems.)
Transcribed Image Text:[10 21 Let A =|-110 and B =|-10 1 |. Solve the system AX = B by row reduction for X. Do not try to [3 1 8] [0 10 [-1 4 1] determine A-1 as an intermediate step. (Hint: Suppose after row reduction RX = C and R = r2 and X = [x1 : x2 : x3]. Express the elements of matrix C in terms of ri, xj. Note that RX = C may be solved by using R[x1 : x2 : x3] = C and solving three linear systems.)
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