In general, it is difficult to show that two matrices are similar. However, if two similar matrices are diagonalizable, the task becomes easier. In Exercises 38-41, show that A and B are similar by showing that they are similar to the same diagonal matrix. Then find an invertible matrix P such that
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Linear Algebra: A Modern Introduction
- 11. Find two nonzero matrices and such that.arrow_forwardCan a matrix with zeros on the diagonal have an inverse? If so, find an example. If not, prove why not. For simplicity, assume a 22 matrix.arrow_forwardAre the two matrices similar? If so, find a matrix P such that B=P1AP. A=[100020003]B=[300020001]arrow_forward
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