Question

Please help

Answer 1

I am having trouble with the notations

Answer 2

Hey!

Answer 3

hiii @ganeshie8

Answer 4

are you familiar with special linear group ?

Answer 5

yes

Answer 6

\(SL_3(\mathbb{Z})\) is the special linear group of 3x3 matrices with "integer" entries

Answer 7

and the determinant value will be 1

Answer 8

yes, also we're considering only the matrices whose element at first row first column is 1

Answer 9

as a start, consider any two such matrices, just to get a feel..

Answer 10

ok

Answer 11

try below two matrices :

\(\begin{bmatrix} 1&2&1\\0&1&3\\0&0&1 \end{bmatrix}\)

\(\begin{bmatrix} 1&1&2\\3&0&1\\1&0&0 \end{bmatrix}\)

do they belong to the given set in part i ?