3x3 Matrix Determinant 8 4 3 -5 6. -2 [7 9. -8 Find the determinant of the matrix using the formulas in number 1 then check your answer with shortcut solution in number 2: For n22, det(A) = a Cy = a,,G + az,C + + a C (for j = 1,2,3,.,or n) det(A) =a, Cy = a,G1 + a„Cz + *+ aCin (for i = 1,2,3, .- , or n) 1-1 Cy = co - factor of a, 1. A = |a21 a23 21 a22

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.5: Determinants
Problem 81E
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3x3 Matrix Determinant
8
4
3
-5
6.
-2
7
9.
-8
Find the determinant of the matrix using the
formulas in number 1 then check your answer
with shortcut solution in number 2:
Forn2 2,
det(A) =, a, Cij = a,Gj + azjC2j ++ anCnj (for j = 1,2,3, .,or n)
!!
det(A) => a, Cy = a, C1 + azG2 + ** + an Cin (for i = 1,2,3, .,or n)
Cj = co - factor of ay
1.
a11
A21
a13]
23
a22
A = |a21
a31
a32
33]
a31
a32
+ +
2.
Transcribed Image Text:3x3 Matrix Determinant 8 4 3 -5 6. -2 7 9. -8 Find the determinant of the matrix using the formulas in number 1 then check your answer with shortcut solution in number 2: Forn2 2, det(A) =, a, Cij = a,Gj + azjC2j ++ anCnj (for j = 1,2,3, .,or n) !! det(A) => a, Cy = a, C1 + azG2 + ** + an Cin (for i = 1,2,3, .,or n) Cj = co - factor of ay 1. a11 A21 a13] 23 a22 A = |a21 a31 a32 33] a31 a32 + + 2.
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