Find the determinant of the matrix using the formulas in number 1 then check your answer with shortcut solution in number 2. Write complete and organized and readable solutions.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the determinant of the matrix using the formulas in number 1 then check your answer with shortcut solution in number 2. Write complete and organized and readable solutions.
For n2 2,
det(A) = > a;j Cij = a,;C1j + az;C2j +…+ an¡Cnj (for j = 1,2,3, ...,or n)
i=1
det(A) = > aij C;j = an Ci1 + a¿zGiz + …·+ ainCin (for i = 1,2,3, ..., or n)
Cij = co – factor of a;j
1.
a13]
23
d22
A = |a21
A32
A21
a31
ɑ32
a33]
+ + +
2.
Transcribed Image Text:For n2 2, det(A) = > a;j Cij = a,;C1j + az;C2j +…+ an¡Cnj (for j = 1,2,3, ...,or n) i=1 det(A) = > aij C;j = an Ci1 + a¿zGiz + …·+ ainCin (for i = 1,2,3, ..., or n) Cij = co – factor of a;j 1. a13] 23 d22 A = |a21 A32 A21 a31 ɑ32 a33] + + + 2.
3x3 Matrix Determinant
4
-5
6
-2
7
9 -8
3.
Transcribed Image Text:3x3 Matrix Determinant 4 -5 6 -2 7 9 -8 3.
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