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Let . is square matrix... Show that if A is symmetric then: 1. is symmetric 2. if A is idempotent. 3. Note: is the Moore-Penrose

Let image text in transcribed . is square matrix...

Show that if A is symmetric then:

1. image text in transcribed is symmetric

2. image text in transcribed if A is idempotent.

3. image text in transcribed

Note: image text in transcribed is the Moore-Penrose matrix.

Please help me with the 3 subquestions.

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