[10 21 [0101 Q1) Let A = |-110 and B =|-101|. Solve the system AX = B by row reduction for X. Do not try to [3 1 8] determine A-1 as an intermediate step. [-1 4 1]

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Chapter2: Second-order Linear Odes
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[0 101
[10 21
Let A = |-110| and B =-101 |. Solve the system AX = B by row reduction for X. Do not try to
[3 181
Q1)
[-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 r, xj. Note that RX = C may be solved by using R[x1 : x2 : x3]
C and solving three linear systems.)
Transcribed Image Text:[0 101 [10 21 Let A = |-110| and B =-101 |. Solve the system AX = B by row reduction for X. Do not try to [3 181 Q1) [-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 r, xj. Note that RX = C may be solved by using R[x1 : x2 : x3] C and solving three linear systems.)
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