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# 3x3 Matrix to the power of K watch

1. Could someone walk me through how the matrix
(1 2 2) ^k ===(1 2k 2k^2 )
(0 1 2) =====(0 1 2k )
(0 0 1) =====(0 0 1 )
Thanks
2. Sorry you've not had any responses about this. Are you sure you've posted in the right place? Here's a link to our subject forum which should help get you more responses if you post there.

Just quoting in Danny Dorito so she can move the thread if needed
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(Original post by Danny Dorito)
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3. (Original post by XtrJ)
Could someone walk me through how the matrix
(1 2 2) ^k ===(1 2k 2k^2 )
(0 1 2) =====(0 1 2k )
(0 0 1) =====(0 0 1 )
Thanks
proof by induction?
4. (Original post by XtrJ)
Could someone walk me through how the matrix
(1 2 2) ^k ===(1 2k 2k^2 )
(0 1 2) =====(0 1 2k )
(0 0 1) =====(0 0 1 )
Thanks
You need to do a proof by induction. First show it is true for n=1. Then assume it is true for k=y, then prove that if it is true for k=y then it is true for k=y+1. Then finished.

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Updated: January 18, 2017
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