The Student Room Group

3x3 Matrix to the power of K

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
(edited 7 years ago)
Sorry you've not had any responses about this. :frown: Are you sure you've posted in the right place? :smile: Here's a link to our subject forum which should help get you more responses if you post there. :redface:


Just quoting in Danny Dorito so she can move the thread if needed :wizard:

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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?
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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