# matrix of s

• May 2nd 2011, 01:37 AM
Arron
matrix of s
Hi!

Just want to confirm the following

s:C-->R^3
a+ib-->(b,a,a+b)

Find the matrix of s with respect to the standard basis for the domain C and the standard basis for the codoaim R^3.

I have
s(a,b) = (b,a,a+b)
s(1,0) = (0,1,1), s(0,1) = (1,0,1)

The matrix of s with repect to the standard basis is

A = ( 0 1)
(1 0)
(1 0)

Is this correct?
• May 2nd 2011, 01:54 AM
topsquark
Quote:

Originally Posted by Arron
Hi!

Just want to confirm the following

s:C-->R^3
a+ib-->(b,a,a+b)

Find the matrix of s with respect to the standard basis for the domain C and the standard basis for the codoaim R^3.

I have
s(a,b) = (b,a,a+b)
s(1,0) = (0,1,1), s(0,1) = (1,0,1)

The matrix of s with repect to the standard basis is

A = ( 0 1)
(1 0)
(1 0)

Is this correct?

I'm assuming a typo. If you meant
$s = \begin{pmatrix} 0 & 1 \\ 1 & 0 \\ 1 & 1 \end{pmatrix}$

then you are correct.

-Dan
• May 2nd 2011, 04:09 AM
Arron
Yes, thanks