There I have found from an old tutorial notes from a Linear Algebra course I am taking that I am finding the question rather cumbersome. I haven't come across any elementary matrices problem set in this way before. I have tried to using Gauss-Jordan Elimination to reduce matrix A, whilst performing the row operations on the corresponding elementary matrix. Although, I am unsure if this is the correct approach as the problem notes that RREF calculation is not necessary.If [A|b] denotes the augmented matrix which corresponds to the system of linear equationsw−y=−2−w+x+z=52x−y+4z=1,determine the 3×3 matrix E such that [EA|Eb] is the reduced row echelon form of [A|b]. Note: You are asked to calculate the matrix E but you are not asked to calculate the reduced row echelon form.Any help on how to approach this question or determine the matrix E would be highly appreciated.

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There I have found from an old tutorial notes from a Linear Algebra course I am taking that I am finding the question rather cumbersome. I haven&#039;t come across any elementary matrices problem set in this way before. I have tried to using Gauss-Jordan Elimination to reduce matrix A, whilst performing the row operations on the corresponding elementary matrix. Although, I am unsure if this is the correct approach as the problem notes that RREF calculation is not necessary.If [A|b] denotes the augmented matrix which corresponds to the system of linear equationsw−y=−2−w+x+z=52x−y+4z=1,determine the 3×3 matrix E such that [EA|Eb] is the reduced row echelon form of [A|b]. Note: You are asked to calculate the matrix E but you are not asked to calculate the reduced row echelon form.Any help on how to approach this question or determine the matrix E would be highly appreciated.

Jonas Burt · Accepted Answer

Seems to me that the most straightforward method is to row-reduce [A∣I3] to obtain [EA∣E]. Strictly speaking, by doing so you haven’t computed the RREF of [A∣b]. Another possibility is to verify that A has full rank, in which case E can be computed by inverting the square matrix obtained by deleting the last column of A.

There I have found from an old tutorial notes from a Linear Algebra course I am taking that I am fin

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