Matrix multiplication is a binary operation that produces a new matrix from two matrices. Unlike addition and subtraction, the dimensions of the matrices involved in multiplication determine the possibility and the result of the operation. Matrix Multiplication involves two major conditions practically for finding AB where A assumes first matrix and B as Second matrix.
1.The no. of columns of first matrix should be equal to the no. of rows of second matrix only then multiplication is possible . if they are not equal then multiplication is not possible.
2. Multiply first row of first matrix with first column of second matrix then first row of first matrix with second column of second matrix then first row of first matrix with third column of second matrix then second row of first matrix with first column of second matrix and so on till the no. of row of first matrix and no. of column of second matrix.
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Matrix multiplication is a fundamental operation in linear algebra, widely used in various fields such as computer graphics, physics, economics, and statistics. Understanding its definition, properties, and application is crucial for effectively utilizing matrices in mathematical and applied contexts.