(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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.

2. Relevant 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.

3. 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]

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Linear Algebra- Matrices

**Physics Forums | Science Articles, Homework Help, Discussion**