Similar matrices. The square matrix A is said similar to B if there is a matrix P invertible such that A = PBP-1 This means that the matrices A and B are representing the same operator in different basis. A Some properties : 4) Suppose A is invertible. Explain why any matrix similar to A is also invertible.

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Similar matrices.
The square matrix A is said similar to B if there is a matrix P invertible such that A = PBP-1
This means that the matrices A and B are representing the same operator in different basis.
A Some properties :
4) Suppose A is invertible. Explain why any matrix similar to A is also invertible.
Transcribed Image Text:Similar matrices. The square matrix A is said similar to B if there is a matrix P invertible such that A = PBP-1 This means that the matrices A and B are representing the same operator in different basis. A Some properties : 4) Suppose A is invertible. Explain why any matrix similar to A is also invertible.
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