f_finding the determinant of a 3x3 matrix
TRANSCRIPT
-
8/19/2019 F_Finding the Determinant of a 3x3 Matrix
1/2
1.
Kwadwo Amankwa - 03/16/2016 5:24:03 AM PDTPreCalculus / Amankwa, Kwadwo (Amankwa)
Finding the determinant of a 3x3 matrix
Evaluate the following determinant.
The determinant of the matrix is written or .
The value of the determinant can be found as follows.
Therefore, we have the following.
0 3 − 5
− 1 5 − 3
4 − 6 2
= A
a11
a12
a13
a21
a22
a23
a31
a32
a33
A
a11
a12
a13
a21
a22
a23
a31
a32
a33
a11
a12
a13
a21
a22
a23
a31
a32
a33
= +−a11
a22
a23
a32
a33
a12
a21
a23
a31
a33
a13
a21
a22
a31
a32
= +−a11 −a22a33 a32a23 a12 −a21a33 a31a23 a13 −a21a32 a31a22
0 3 − 5
− 1 5 − 3
4 − 6 2
= 0
5 − 3
− 6 2
− 3
− 1 − 3
4 2
+ − 5
− 1 5
4 − 6
= −− 3 −∙− 1 2 ∙4 − 3 5 −∙− 1 − 6 ∙4 5
= −− 3 +− 2 12 5 −6 20
-
8/19/2019 F_Finding the Determinant of a 3x3 Matrix
2/2
The answer is .
Copyright © 2016 UC Regents and ALEKS Corporation
= −∙− 3 10 ∙5 − 14
= +− 30 70
= 40
40