The phrase "by multiplying a matrix" is grammatically correct and can be used in written English
It is commonly used in mathematical or technical contexts to describe a process of calculation or transformation using matrices. Example: One way to solve this system of equations is by multiplying the coefficient matrix by the inverse matrix.
We undersample the received echo signals e by multiplying a selection matrix Σ as e cs = Σ e = Σ G f + v = Σ G f + v ~, (24).
To do this, we distorted the entire pattern of fixations by multiplying a distortion matrix by all the fixation vectors.
In single-user MIMO systems, the eigenvalue distributions of Wishart matrices (a Wishart matrix [1] is formed by multiplying a Gaussian random matrix (of the size ) with its Hermitian transposition (given that ).
In the second step, we sum for every position in the CRS matrix the corresponding elements from H. In principle, this summation can be done by multiplying a suitable sparse matrix with H.
A 1×n pre-coded codeword x is generated by multiplying a k×n generator matrix G and 1×k pre-coded message m constructed by multiplying a 1×k secret message u and a k×k scrambling matrix S. Figure 2 illustrates a simple example of the puncturing and scrambling schemes.
Specifically, in the encoder side, each frame is first transformed by DWT and the resulting coefficients are measured by multiplying a multi-scale measurement matrix Φ ′, the same as that in Eq. (6).
The simulated data were generated by multiplying a pre-calculated sensitivity matrix with the absorption changes corresponding to the above-introduced simulated changes.
In the following, we construct arbitrary unimodular matrices by multiplying an upper and a lower triangular matrix (13).
If a matrix has a linearly correlated row or column, it can be changed into a diagonal matrix by multiplying the orthogonal matrix on the left with that on the right [21].
By multiplying this score matrix with the matrix of relative expression strength of the respective genes we derived a score matrix that relates human tissues and TFBS enrichment based on the studied set of imprinted genes.
