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The Determinant(x,opts) command computes the Determinant of the Tensor x.

The MatrixInverse(x,opts) command computes the matrix inverse of x.

The Norm(x,ord,opts) command computes the norm of x using norm ord.

The Trace(x,opts) command computes the trace of the Tensor x.

The Transpose(x,opts) command computes the transpose of the Tensor x.

$\mathrm{with}\left(\mathrm{DeepLearning}\right)\:$

$M≔\mathrm{LinearAlgebra}:-\mathrm{VandermondeMatrix}\left(⟨3.\,5.\,7.⟩\right)$

$M≔\left[\begin{array}{ccc}1.0& 3.& 9.\\ 1.0& 5.& 25.\\ 1.0& 7.& 49.\end{array}\right]$

$t≔\mathrm{Constant}\left(M\right)$

$t≔\left[\begin{array}{c}\mathrm{DeepLearning\; Tensor}\\ \mathrm{Shape:\; [3,\; 3]}\\ \mathrm{Data\; Type:\; float[8]}\end{array}\right]$

$\det ≔\mathrm{Determinant}\left(t\right)$

$\det ≔\left[\begin{array}{c}\mathrm{DeepLearning\; Tensor}\\ \mathrm{Shape:\; []}\\ \mathrm{Data\; Type:\; float[8]}\end{array}\right]$

$\mathrm{tr}≔\mathrm{Trace}\left(t\right)$

$\mathrm{tr}≔\left[\begin{array}{c}\mathrm{DeepLearning\; Tensor}\\ \mathrm{Shape:\; []}\\ \mathrm{Data\; Type:\; float[8]}\end{array}\right]$

$\mathrm{Norm}\left(t\,2\right)$

$\left[\begin{array}{c}\mathrm{DeepLearning\; Tensor}\\ \mathrm{Shape:\; []}\\ \mathrm{Data\; Type:\; float[8]}\end{array}\right]$

$\mathrm{Norm}\left(t\,\mathrm{\infty }\right)$

$\left[\begin{array}{c}\mathrm{DeepLearning\; Tensor}\\ \mathrm{Shape:\; []}\\ \mathrm{Data\; Type:\; float[8]}\end{array}\right]$

The DeepLearning,Tensor,Determinant, DeepLearning,Tensor,MatrixInverse, DeepLearning,Tensor,Norm, DeepLearning,Tensor,Trace and DeepLearning,Tensor,Transpose commands were introduced in Maple 2018.

For more information on Maple 2018 changes, see Updates in Maple 2018.