Matrix: What properties of determinants enable one to write the following...?

[Aristol22]

What are the properties of determinants that enable to write the following? ( Please show the steps)

9	18
27	56

=

9	18
0	2

 

[Deleted member 4993]

What are the properties of determinants that enable to write the following? ( Please show the steps)

9	18
27	56

=

9	18
0	2

Is that statement correct? I do not know of any property of determinate that will let you do that. however, there are matrix-operation performed during calculation of determinate (and whole lot of other things that will let you do that.

What type/s of matrix operation have you been taught?

 

[gregk]

What are the properties of determinants that enable to write the following?

I assume you mean

\(\displaystyle
\begin{vmatrix}
9 & 18 \\
27 & 56
\end{vmatrix}
=
\begin{vmatrix}
9 & 18 \\
0 & 2
\end{vmatrix}.
\)

What are the properties of determinants that you have learned? How did we go from the matrix on the left to the one on the right?