The algebra of matrix follows some rules for addition and multiplication. Let us consider A, B and C are three different square matrices. A’ is the transpose and A-1 is the inverse of A. I is the identity matrix and c is a real number.
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- Now as per the rules of laws of matrices:
- Also, see here rules for transposition of matrices:
- The inverse rules of matrices are as follows:
- prove:
- prove: