#matrices help needed

35 messages · Page 1 of 1 (latest)

austere charm
opaque islandBOT
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bronze karma
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A = 1/2 * [(A - B^T) + (A + B^T)]

austere charm
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i didnt understand

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what you just did

bronze karma
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But you understand why they are equal, don't you?

austere charm
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what are equal?

bronze karma
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A and 1/2 * [(A - B^T) + (A + B^T)]

austere charm
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its A^T + B not A + B^T

bronze karma
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A and B^T are matrices with the same numbers of rows and columns, evident by the given expression A-B^T

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austere charm
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oh ok

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so what should i do to find the answer?

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austere charm
signal pondBOT
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@austere charm has given 1 rep to @bronze karma

austere charm
bronze karma
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austere charm
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please man

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i really need a good answer for that question

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and i cant trust mine

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cuz i am horrible at matrices

bronze karma
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This is matrix addition, not rocket science
You can always just do each entry one by one

austere charm
signal pondBOT
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@austere charm has given 1 rep to @bronze karma

austere charm
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@bronze karma hey man

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srry for bothering you

bronze karma
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Start with n=1

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which should be straightforward to prove

austere charm
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oh ok

bronze karma
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Then assuming the statement is true for some positive integer k
The left hand side of the equation for case k+1 is just one term more than s_k
The right hand side of that is also just some minor modification away from s_k

austere charm
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oh ok