Multiplication of Matrices:
Two matrices can be multiplied only when the number of columns in the first is equal to the number of rows in the second. Such matrices are said to be conformable for multiplication.
- Commutative law does not necessarily hold for matrices.
- Matrix multiplication is associative.
- Matrix multiplication is distributive with respect to addition.
- If A is a square matrix of order n and if In is an identity matrix of order n, then AIn=InA=A.
If I be a unit matrix, then I = I2 = I3 = …… = In.
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