Sentence examples for matrices of sizes from inspiring English sources

are good candidates for the parity coefficient matrices of sizes and, respectively.

As an introductive example, consider computation of the matrix product AB, where A and B define matrices of sizes k m and m p, respectively.

where U and V are unitary matrices of sizes N×N and M×M, respectively (U T U=I N,V T V=I M ), and (mathbf {Sigma }= left [begin {array}{cc} text {diag}left [sigma _{1},cdots,sigma _{r}right ],mathbf {0} mathbf {0} end {array}right ]) of size N×M with σ 1≥σ 2≥⋯≥σ r >0, ( {sigma _{i}}_{i=1}^{r} ) are positive real known as the singular values of X with rank r (r≤N).

Let X and Y be a pair of matrices of sizes n1 × n2 and n2 × n3, respectively, whose elements are taken from   D.

Kronecker sum A ⊕ B of two squared matrices A ∈ R m × m and B ∈ R n × n is given by (4) A ⊕ B = A ⊗ I n + I m ⊗ B ∈ R m n × m n, where I n, I m are identity matrices of sizes n and m, respectively.

But Hadamard matrices of size 4k + 2 do not exist.

In the above definitions,,, and are diagonal matrices of size.

This method is based on a Hadamard matrix of size N×N and a pair of Hadamard matrices of size M×M.

Let M n ( C ) be the space of complex matrices of size n × n matrices.

(mathcal{S}^{m}) is a space whose elements are real symmetric matrices of size (mtimes m).

Here I and O are the identity and zero matrices of size (3times 3), respectively.