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## Homework Statement

You are given matrices A:

A=

[-4 5 9 0 3

-5 1 3 8 -5

-6 0 4 0 -9

-1 -1 -4 3 -5]

and

B=

[-4 5 9 0 3

-6 0 4 0 -9

-40 8 24 64 -40

-1 -1 -4 3 -5 ]

Find two elementary matrices E and F that transform matrix A into matrix B.

## Homework Equations

The solution might not be unique, however, after multiplying A on the left with elementary matrices E and F your result should be matrix B. That is, F E A = B.

## The Attempt at a Solution

I know one Elementary matrix already which is R2*8

and the second elementary matrix swaps row 2 with row 3

do I write it like this:

F=

[1 0 0 0 0

0 8 0 0 0

0 0 1 0 0

0 0 0 1 0]

**--is it okay to have the last column full of zeros??**

and the next elementary matrix, do i write it like this:

[1 0 0 0 0

0 0 1 0 0

0 1 0 0 0

0 0 0 1 0]

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