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uDeterminant [OPTN]-[MAT]-[Det]
Example Obtain the determinant for the following matrix :
123
Matrix A = 456
–1 –2 0
K2(MAT)3(Det)1(Mat)
av(A)w
uMatrix Transposition [OPTN]-[MAT]-[Trn]
A matrix is transposed when its rows become columns and its columns become rows.
Example To transpose the following matrix :
12
Matrix A = 34
56
K2(MAT)4(Trn)1(Mat)
av(A)w
2-8-18
Matrix Calculations
# Determinants can be obtained only for square
matrices (same number of rows and
columns). Trying to obtain a determinant for a
matrix that is not square produces an error.
# The determinant of a 2 × 2 matrix is
calculated as shown below.
# The determinant of a 3 × 3 matrix is calculated
as shown below.
|A| =
a11 a12
= a
11a22 – a12a21
a21 a22
= a11a22a33 + a12a23a31 + a13a21a32
– a11a23a32 – a12a21a33 – a13a22a31
a11 a12 a13
a21 a22 a23
a31 a32 a33
|A| =