- **Calculus & Beyond Homework**
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- - **Two proving problem from the book Algebra by Artin**
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two proving problem from the book Algebra by ArtinCan anyone give me some hint on proving 1.3 13 and 1.5 3 of
Algebra by Artin? |

Probably.
It would help if we knew what the questions were. Where are you getting stuck exactly? |

the first problem : M is a 2n*2n matrix in the form A B C D where each block A(at the position 1,1) B(1,2) C(2,1) D(2,2) is an n*n block. A is invertible and AC=CA. Prove the det M = det (AD - CB)
the second problem: A is an n*n matrix with integer entries. Prove that the inverse of A has integer entries if and only if det A = 1 or -1 |

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