Tag Archives: inverse

Linear Algebra and Its Applications, Exercise 3.1.4

Posted on February 9, 2014 by hecker

Exercise 3.1.4. If is an invertible matrix, describe why row of and column of are orthogonal in the case . Answer: We have . The identity matrix has ones on the diagonal (i.e., when ) and zeros otherwise (when ). … Continue reading →

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Linear Algebra and Its Applications, Review Exercise 2.26

Posted on December 29, 2013 by hecker

Review exercise 2.26. State whether the following statements are true or false: a) For every subspace of there exists a matrix for which the nullspace of is . b) For any matrix , if both and its transpose have the … Continue reading →

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Linear Algebra and Its Applications, Review Exercise 2.25

Posted on December 28, 2013 by hecker

Review exercise 2.25. Suppose that is a linear transformation from to itself, and transforms the point to the point . What does the inverse transformation do to the point ? Answer: The effect of is to reverse the effect of … Continue reading →

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