(a) Use elementary row operations to find the reduced row echelon form of the matrix
M =
[1 0 4
0 0 5
0 1 −2]
(b) For the elememtary row operations you used in (a), construct the corresponding elementary
matrices. Clearly identify which matrix corresponds to which row operation.
(c)
(i) Explain whether or not M is invertible using your answer from part (a).
(ii) If M is invertible, compute M−1 as a product of the elementary matrices you found in
part (b).
M =
[1 0 4
0 0 5
0 1 −2]
(b) For the elememtary row operations you used in (a), construct the corresponding elementary
matrices. Clearly identify which matrix corresponds to which row operation.
(c)
(i) Explain whether or not M is invertible using your answer from part (a).
(ii) If M is invertible, compute M−1 as a product of the elementary matrices you found in
part (b).
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