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For Vector/Matrix multiplication, use . (dot). If instead you want to perform elementwise multiplication, use *~.
For matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix. The resulting matrix, known as the matrix product, has the number of rows of the first and the number of columns of the second matrix. The product of matrices A and B is denoted as AB.
The product of A and B has M x N values, each of which is a dot-product of K-element vectors. Thus, a total of M * N * K fused multiply-adds (FMAs) are needed to compute the product. Each FMA is 2 operations, a multiply and an add, so a total of 2 * M * N * K FLOPS are required.
To multiply floating-point numbers, the mantissas are first multiplied together with an unsigned integer multiplier. Then, the exponents are added, and the excess value (exponentoffset) 2(n 1) is subtracted from the result. The sign of the output (sout) is the XNOR of the signs of the inputs (sa and sb).
Matrix multiplication Rules The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. If both A and B are square matrices of the same order, then both AB and BA are defined. If AB and BA are both defined, it is not necessary that AB = BA.
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In the realm of technology and computing, a matrix refers to a specialized data structure composed of rows and columns. It is often used in mathematical computations, graphics programming, and other applications where organized data manipulation and transformation are essential.
Applications of matrix multiplication in computational problems are found in many fields including scientific computing and pattern recognition and in seemingly unrelated problems such as counting the paths through a graph.
Multiplication is performed as a series of (n) conditional addition and shift operation such that if the given bit of the multiplier is 0 then only a shift operation is performed, while if the given bit of the multiplier is 1 then addition of the partial products and a shift operation are performed.

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