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The product of a p x q and a r x s matrix is defined only if q = r and, if so, it is a p x s matrix.
A channel state matrix can provide the information needed to determine whether spatial multiplexing is possible for multilayer data transmission. Simple indicators for evaluating the mobile radio channel are derived from the channel matrix
Tthe matrix multiplication A*Bis defined only if the number of columns in the first matrix, A, is the same as the number of rows in the second, B. Note that the condition for the multiplication of B*A will be the reverse.
Hadamard product for a 3 × 3 matrix A with a 3 × 3 matrix B
A determinant is defined for square matrices only.To find the determinant of the matrix you need to:find all n-tuples of elements of the matrix such that each row and each column of the matrix is represented.calculate the product of the elements.calculate the sign for that term. To see how this is done, see below.calculate the sum of the signed products: that is the determinant.To calculate the sign for the product of the n-tuple, arrange the elements in row order. Swap the elements, two at a time, to get them in column order. If the number of swaps required is even then the product is assigned a positive sign, and if odd then a negative sign.