Question

Linear Algebra,
https://www.dropbox.com/s/501o8y4ulh4py0g/Screenshot%202013-11-26%2011.37.09.jpg

Answer 1

@agent0smith

Answer 2

@ganeshie8

Answer 3

@Hero

Answer 4

u can upload pics here
there's an attach file button below

Answer 5

Its too slow , so instead I upload at dropbox

Answer 6

@jim_thompson5910

Answer 7

@UnkleRhaukus

Answer 8

il give a hint : If u add elements of other rows to a row, the determinant will not change

Answer 9

gane was right

Answer 10

\[
Det\left(
\begin{array}{cc}
a & b \\
c & d \\
\end{array}
\right)= a d - bc

\]

Answer 11

\[Det\left(
\begin{array}{cc}
a+5c & b+5d \\
c & d \\
\end{array}
\right)=(a+5 c)d - (b+5d) c= ad + 5 cd - bd -5 cd=ad -bc \\= Det\left(
\begin{array}{cc}
a & b \\
c & d \\
\end{array}
\right)

\]

Answer 12

The same is true for matrices at higher dimension. Can you guess the answer to your problem now?