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Characterizing a matrix (The matrix NORM menu)
The matrix NORM (NORMALIZE) menu is accessed through the keystroke sequence „´. This menu is described in detail in Chapter 10 of the calculator’s user’s guide. Some of these functions are described next.
Function DET
Function DET calculates the determinant of a square matrix. For example,
Function TRACE
Function TRACE calculates the trace of square matrix, defined as the sum of the elements in its main diagonal, or
n
tr(A) = ∑aii .
i =1
Examples:
Solution of linear systems
A system of n linear equations in m variables can be written as
a11⋅x1 | + a12⋅x2 | + a13⋅x3 | + …+ | + a1,m⋅x m | = b1, | |
a21⋅x1 | + a22⋅x2 | + a23⋅x3 | + …+ | + a2,m⋅x m | = b2, | |
a31⋅x1 | + a32⋅x2 | + a33⋅x3 | + …+ | + a3,m⋅x m | = b3, | |
. | . | . | … . | . | . |
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