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random square matrix over the reals, the probability that it will be singular is zero." Does this mean the matrix (0, 2) (0, 0) is invertible, even though...

triple product: If an invertible matrix A consists of the column vectors x 0 , x 1 , x 2 {\displaystyle \mathbf {x_{0}} ,\;\mathbf {x_{1}} ,\;\mathbf {x_{2}}...

determinants on sunday [probably]. EdJ343 15:28, 14 March 2007 (UTC) See Invertible matrix. In the future please add new comments at the end of the talk page...

relate to a matrix being singular? —Ben FrantzDale 22:22, 21 December 2006 (UTC) Not. All four combinations (invertible + diagonalizable, invertible + defective...

merely equivalent to A be invertible, which is insufficient to make A diagonalizable (for example, the defective matrix is invertible). N linearly independent...

usually introduced in terms of coordinate transformation. If U is an invertible matrix, it can be seen as a transformation from one coordinate system to...

at full speed :-) seems like a sensible idea Agree, keep Growth-Share matrix They are one and the same, why keep two separate topics for the same thing...

1.28 (talk) 12:46, 26 April 2006 (UTC) I removed the link to the Invertible Matrix article, which hopefully helps with the ambiguity. I'm not an expert...

a natural transformation of functors GL(n,-) → (-)* ≅ GL(1,-), sending each invertible matrix to its determinant in the group of units of the ground ring...

Sherman-Morrison formula, as applied to invertible matrices. The algorithms do not apply to an arbitrary matrix A (this is now stated in the article)....

Matrix decompositions are definitely used very much in linear algebra, but one can decompose matrices whose elements do not belong to a field, as well...

det(AB) = det(A)·det(B) — and such that a matrix A is invertible over S if and only if det(A) is an invertible member of S. Already this is arguably too...

coordinate system used. The 3×3 matrix in the top left corner is a signed permutation matrix, so the non-zero entries are 1 and −1. In the images I chose to...

matrix is derived from the following vector algebraic equation (see dot product, cross product, and matrix multiplication): u ′ = ( cos ⁡ θ ) u + ( 1...

Previously the PDF said covariance matrix Σ had to be positive-definite. I fixed it to PSD for covariance matrix. I would also say symmetric but the article...

check the result for the matrix exponential e t M = [ 2 e t − 2 t e 2 t − 2 t e 2 t 0 − 2 e t + 2 ( t + 1 ) e 2 t 2 ( t + 1 ) e 2 t 0 2 t e 2 t 2 t e...

specify invertible affine transformations? For example, projection of R 3 {\displaystyle R^{3}} to R 2 {\displaystyle R^{2}} is affine, but not invertible. Or...

an integer, and the matrix has an inverse with integer entries if and only if this determinant is +1 or −1 (the only invertible integers). I also think...

does matrix decoding involve utilizing 2 stereo channels being "mirrored" and separating offsets on the other channels? (unsigned comment from anon) —Preceding...

a square matrix - It characterizes some properties of that matrix. (This is a bit vague and contentless) - It is nonzero only on invertible matrices and...