Given the following matrices, find the determinant: [3 -2 5 1 [2 1-3 01 0 4 1 4-2 2 3 1 5 a.) AB = A 1 0 -1 2 1 3 4 3 b.) A-1B-1 = c.) (CD) (CD) -1 = d.) cofactor of B B e.) a32C12a43C24-M41C22 of B = f.) M44-M33+ M22+ M11 of A 2 2 1 0 1 -3 2J - 13 61-449 5; D = -3 2 ; C = g.) CD = h.) 5B-1 i.) 2A5: = j.) cofactor of A = k.) a14C32+ a44C23-M31C42 of A = 1.) M32+ M23 - M22+ M12 of B -3 일
Given the following matrices, find the determinant: [3 -2 5 1 [2 1-3 01 0 4 1 4-2 2 3 1 5 a.) AB = A 1 0 -1 2 1 3 4 3 b.) A-1B-1 = c.) (CD) (CD) -1 = d.) cofactor of B B e.) a32C12a43C24-M41C22 of B = f.) M44-M33+ M22+ M11 of A 2 2 1 0 1 -3 2J - 13 61-449 5; D = -3 2 ; C = g.) CD = h.) 5B-1 i.) 2A5: = j.) cofactor of A = k.) a14C32+ a44C23-M31C42 of A = 1.) M32+ M23 - M22+ M12 of B -3 일
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 29E
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Question
How to solve a clear solution on question K and L
![Given the following matrices, find the determinant:
[2
1
-3
1 4 -2 1
3
2
5
2
A =
302
-1
a.) AB =
-2 5
сл
4 -1
1
1
0 4
b.) A-¹B-1 =
c.) (CD) (CD) -1 =
d.) cofactor of B =
1233
B =
e.) a32C12+ a43C24 - M41C22 of B =
f.) M44 - M33+ M22+ M11 of A =
0
-3
112
2
g.) CD
C = -1 5;
11
h.) 5B-1
i.) 2A5 =
61-449
D =
= [-_-²33
=
2
2
j.) cofactor of A =
7]
k.) a14C32 + a44C23 - M31C42 of A =
I.) M32+ M23 - M22+ M₁2 of B =
-3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff603d62f-29e6-43cc-9457-846dae1cab11%2F8a944902-c7d0-4b25-9ae3-14963c4ebbae%2F79131xo_processed.png&w=3840&q=75)
Transcribed Image Text:Given the following matrices, find the determinant:
[2
1
-3
1 4 -2 1
3
2
5
2
A =
302
-1
a.) AB =
-2 5
сл
4 -1
1
1
0 4
b.) A-¹B-1 =
c.) (CD) (CD) -1 =
d.) cofactor of B =
1233
B =
e.) a32C12+ a43C24 - M41C22 of B =
f.) M44 - M33+ M22+ M11 of A =
0
-3
112
2
g.) CD
C = -1 5;
11
h.) 5B-1
i.) 2A5 =
61-449
D =
= [-_-²33
=
2
2
j.) cofactor of A =
7]
k.) a14C32 + a44C23 - M31C42 of A =
I.) M32+ M23 - M22+ M₁2 of B =
-3
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Follow-up Question
On the given matrices, How did you get the given value of this equation?
Given matrix is,
A=3-25104-1221131043
Suppose, Cij be the i,jth of the co-factor matrix of A. Then,
C32=-13+23510-12143=-1-22=22C23=-12+33-21213103=-114=-14C42=-14+23510-12213=7C31=-13+1-2514-12043=-14-22
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