## 234 Reputation

18 years, 198 days

## How to check the consistency of a system...

Maple
I am working on a Maximum Likelihood problem and would like to know whether the LinearAlgebra package can be helpful. Up to now I have been using Maple only to check my work. However, someone pointed out that Maple's capabilities reach much further: it also can determine whether the system of equations is consistent and, if so, Maple can solve the equations. Unfortunately, I am only trained as a psychologist and I am still at the beginning of learning Maple's capabilities. Here are the three equations: f = (Y'b - 1t'b)(b'b)^-1 equation#1

## Change order in product of scalar and ma...

Maple
In linear algebra multiplication of a scalar and a matrix can change order: aM=Ma, where a is a scalar and M is a r by c matrix. In case of four matrices K,L,M,N the product KLMN is the same as LMNK if the product LMN is a scalar. However, Maple does not allow the forementioned change of order, because the program only checks whether adjacent matrices are conformable. How can this change of order be done in Maple? The issue is that I want to check my work using Maple. TIA Harry ps. is there a brief notation in Maple for scalar by matrix multiplication?

## vec operator in LinearAlgebra...

Maple
I am struggling with the new LinearAlgebra package and I want a procedure for the vec operator (just stacking the colums of matrix r by c into a (r*c) by 1 columnvector. For only extracting two columns the following commands work well: A := Matrix(5, 5, symbol = a); Matrix([[Column(A, [1])], [Column(A, [1])]]); but there must be a simple procedure for doing this for a converting a large matrix into a column vector. Any help would be appreciated. kind regards, Harry Garst
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