Matrices
Hi I’ve just started matrices a level cp1 edexcel and was wondering if someone could explain to me how the matrix ( 1 a ) all to the power of k is
(0 1 )
Worked out. My teacher just presented it and said this is the answer but I don’t know how to get it. I was kinda thinking that you apply the power to each value in the matrix but then I don’t get how a to the power of k is ak
(0 1 )
Worked out. My teacher just presented it and said this is the answer but I don’t know how to get it. I was kinda thinking that you apply the power to each value in the matrix but then I don’t get how a to the power of k is ak
Reply 1
Sorry the matrix is (1a for the first row and then 01 for the second row all to the power of k
Reply 2
16
Original post
by username79352Sorry the matrix is (1a for the first row and then 01 for the second row all to the power of k
This just follows from the definition of matrix multiplication.
Can you work out the square of the matrix first to see where a '2a' would come from? Then multiply the new matrix by the original one to see how you get a '3a'? Then it's just following a pattern.
Reply 3
Original post
by username79352Hi I’ve just started matrices a level cp1 edexcel and was wondering if someone could explain to me how the matrix ( 1 a ) all to the power of k is
(0 1 )
Worked out. My teacher just presented it and said this is the answer but I don’t know how to get it. I was kinda thinking that you apply the power to each value in the matrix but then I don’t get how a to the power of k is ak
(0 1 )
Worked out. My teacher just presented it and said this is the answer but I don’t know how to get it. I was kinda thinking that you apply the power to each value in the matrix but then I don’t get how a to the power of k is ak
Please can you write this out in LaTex/Mathjax or smth similar or submit an image + use exact wording of question? I can't tell what you're asking
Reply 4
16
Original post
by AltAccount00Please can you write this out in LaTex/Mathjax or smth similar or submit an image + use exact wording of question? I can't tell what you're asking
I think they mean
raised to the power k, so it's just a matter of doing "normal" matrix multiplication and spotting the pattern
Reply 5
Original post
by davrosThis just follows from the definition of matrix multiplication.
Can you work out the square of the matrix first to see where a '2a' would come from? Then multiply the new matrix by the original one to see how you get a '3a'? Then it's just following a pattern.
Can you work out the square of the matrix first to see where a '2a' would come from? Then multiply the new matrix by the original one to see how you get a '3a'? Then it's just following a pattern.
Yeah I got the pattern thanks it came up in a later question but I was confused without going through it when they just said this is this. But thank you so much!!!
Reply 6
Original post
by davrosI think they mean
raised to the power k, so it's just a matter of doing "normal" matrix multiplication and spotting the pattern
raised to the power k, so it's just a matter of doing "normal" matrix multiplication and spotting the pattern
Yeah this was it!
Reply 7
Original post
by davrosI think they mean
raised to the power k, so it's just a matter of doing "normal" matrix multiplication and spotting the pattern
raised to the power k, so it's just a matter of doing "normal" matrix multiplication and spotting the pattern
Ohh, thanks. In that case your comment is as helpful as it can get without giving away answer
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