Note
• Determinants and inverse matrices are subject to error due to dropped digits.
• The row echelon form and reduced row echelon form operation may not produce accurate results due
to dropped digits.
Matrix Mat
Enters "Mat ". Next, enter a letter from A to Z or Ans to specify a matrix variable.
-1
Inverse Matrix
Obtains the inverse of the specified square matrix.
-1
Syntax: Mat n
-1
0 -1
0 1
Example:
=
1 0
-1 0
Precautions
• Calculation precision is affected for matrices whose determinant is near zero.
Determinant Det()
Obtains the determinant of the specified square matrix.
Syntax: Det(Mat n )
1 3
Example:
Det(
) = -2
2 4
Matrix Transpose Trn()
Obtains the transpose matrix of the specified matrix.
Syntax: Trn(Mat n )
1 2
Example:
Trn(
3 4
) =
5 6
Note
• The "Trn" command can be used with a vector as well. It converts a 1-row × n -column vector to an
n -row × 1-column vector, or an m -row × 1-column vector to a 1-row × m -column vector.
Matrix Identity Identity()
Creates an identity matrix with the specified number of rows and columns.
Syntax: Identity( n ) ( n = integer)
Example:
Identity(2) =
Row Echelon Form Ref()
This command uses the Gaussian elimination algorithm to find the row echelon form of a matrix.
Syntax: Ref(Mat n )
1 2 3
Example:
Ref(
) =
4 5 6
Reduced Row Echelon Form Rref()
Obtains the reduced row echelon form of the specified matrix.
Syntax: Rref(Mat n )
1 3 5
Example:
Rref(
) =
2 4 6
1 3 5
2 4 6
1 0
0 1
1 5
3
4
2
0 1 2
1 0 -1
0 1 2
228
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