Monthly Archives: April 2013

A rotation followed by a reflection is a reflection

In preparation for answering exercise 2.6.3 in Gilbert Strang’s Linear Algebra and Its Applications, Third Edition, I wanted to derive in detail the effect of a rotation followed by a rotation, a reflection followed by a reflection, a reflection followed … Continue reading

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A reflection followed by a reflection is a rotation

In preparation for answering exercise 2.6.3 in Gilbert Strang’s Linear Algebra and Its Applications, Third Edition, I wanted to derive in detail the effect of a reflection followed by a reflection, a reflection followed by a rotation, and a rotation … Continue reading

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A rotation followed by a rotation is a rotation

In preparation for answering exercise 2.6.3 in Gilbert Strang’s Linear Algebra and Its Applications, Third Edition, I wanted to derive in detail the effect of a reflection followed by a reflection, a reflection followed by a rotation, and a rotation … Continue reading

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Linear Algebra and Its Applications, Exercise 2.6.2

Exercise 2.6.2. Specify the 2 by 2 matrix that has the following effects: projecting all vectors onto the axis projecting the resulting vectors onto the axis Answer: From the discussion in the first part of section 2.6 we know that … Continue reading

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