s=b/a for n port network in matrix form[b]=[s]*[a].there is also relation between z matrix in s matrix.
Yes. If one matrix is p*q and another is r*s then they can be multiplied if and only if q = r and, in that case, the result is a p*s matrix.
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It is a square matrix whose main diagonal has only 1's and all other positions in the matrix are 0.
Derive the S matrix for E-plane Tee
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A strictly lower triangular matrix is a kind of (lower) triangular matrix. Term "lower" implies matrix has elements only in the lower half. The condition "strictly" implies that even the "diagonal" of such lower triangular matrix is populated with '0's. The strictly lower triangular matrix thus has '0's in its diagonal as well as the upper triangle part. In other words, a strictly lower triangular matrix is a lower triangular matrix minus its diagonal.
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A matrix and a scalar is a matrix. S + M1 = M2. A scalar is a real number whose square is positive. A matrix is an array of numbers, some of which are scalars and others are vectors, square of the number is negative. A matrix can be a quaternion, the sum of a scalars and three vectors.
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.