For each real number Icirc cedil let t Icirc cedil R2 R2 be represented with respect to the standard bases by this matrix Show that t Icirc cedil 1 Icirc cedil 2 t Icirc cedil 1 t Icirc cedil 2 Show also that t Icirc cedil 1 t Icirc cedil cos sin sin cos...

One way to check that the first is true is with the angle sum formu ...

For each real number Î¸ let tÎ¸: R2 R2 be represented with respect to the standard bases

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For each real number Î¸ let tÎ¸: R2 †’ R2 be represented with respect to the standard bases by this matrix.

Show that tÎ¸1+Î¸2 = tÎ¸1 ˆ™ tÎ¸2. Show also that tÎ¸-1 = t-Î¸.

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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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Question Posted: Jun 01, 2016 02:06 AM

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For each real number Î¸ let tÎ¸: R2 R2 be represented with respect to the standard bases

Question:

cos θ sin θ -sin θ cos θ

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One way to check that the first is true is with the angle sum formu...View the full answer

Linear Algebra

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