Determinant; Matrix Transposition - Casio fx-9860G Series User Manual

Determinant

Example Obtain the determinant for the following matrix :
Matrix A =
2(MAT)3(Det)1(Mat)
av(A)w

Matrix Transposition

A matrix is transposed when its rows become columns and its columns become rows.
Example To transpose the following matrix :
Matrix A =
2(MAT)4(Trn)1(Mat)
av(A)w
# 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.
a a
11 12
| A | = = a
a a
21 22
2-8-18
Matrix Calculations
1 2 3
4 5 6
−1 −2 0
1 2
3 4
5 6
# The determinant of a 3 × 3 matrix is calculated
a – a a
11 22 12 21
20070201
as shown below.
a a a
11 12 13
a a a
| A | =
21 22 23
a a a
31 32 33
= a a a + a a a
11 22 33 12 23 31
– a a a – a a
11 23 32 12 21
[OPTN]-[MAT]-[Det]
[OPTN]-[MAT]-[Trn]
+ a a a
13 21 32
a – a a a
33 13 22 31