The order of a matrix is another way of saying the dimensions of of a matrix. For a two dimensional matrix, the order could be 2 by 2, or 3 by 3, or 32 by 64.
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Restate the question: "What is the order of a matrix?" The order of a matrix tells the number of rows and columns in the matrix. For instance, a matrix with 3 rows and 4 columns is a 3x4 matrix ("three by four"). A square matrix has the same number of rows and columns: 2x2
The order of a matrix with m rows and n columns is (m, n).
The fact that the matrix does not have an inverse does not necessarily mean that none of the variables can be found.
ghanto
Yes it is possible. The resulting matrix would be of the 2x3 order.