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Linear Algebra

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Reduced Row Echelon Form for $M$

LINALG-FIHSUJ

What is the reduced row echelon form for matrix $M$?

$$M=\left [\matrix{1 & 2 & 4 & 8\cr 2 & 4 & 8 & 6\cr 3 & 3 & 8 & 14\cr }\right ]$$

A

$$\left [\matrix { 1 & 2 & 4 & 8 \cr 0 & 1 & 4/3 & 10/3 \cr 0 & 0 & 0 & 1}\right ]$$

B

$$\left [\matrix { 1 & 0 & 4/3 & 4/3\cr 0 & 1 & 4/3 & 10/3\cr 0 & 0 & 0 & 1\cr }\right ]$$

C

$$\left [\matrix{1 & 0 & 4/3 & 0\cr 0 & 1 & 4/3 & 0 \cr 0 & 0 & 0 & 1\cr}\right ]$$

D

$$\left [\matrix { 1 & 0 & 4/3 & 0 \cr 0 & 0 & 0 & 1 \cr 0 & 1 & 4/3 & 0\cr }\right ]$$

E

Both Choice 'B' and Choice 'D' are correct.

F

None of the above.