Need some help getting started...(adsbygoogle = window.adsbygoogle || []).push({});

Let T ={ [1, 0], [1, 1] }be a basis for R2 .

Given that Transition matrix P s←t

[ 2, 3 ; -1, 2],

find the basis S for R2.

Here is what I think...I started by letting v being any vector...

[1,0] and [0,1] and applied them to the transition matrix by multiplying the transition matrix to each individual set list at the beginning of this sentence to find the v value... to get [2,-1] and [3, 2]

Then taking these values to the vectors of T

I get 2*[1,0]-1*[1,1] and

3*[1,0]+2*[1,1]

My final answer came up with [1, -1] and [5, 2], so is this the basis of S?

2)

Let S ={ [1, -1], [1, 1] } be a basis for R2 .

Given that Transition matrix P s←t

[ 1, 2; 2, 3]

find the basis T for R2.

I think you have to inverse the trans matrix then do the steps from problem one...I get T={[-1,5], [1,-3]} for basis.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Linear Transformation

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**