Given the following Matrices: Find the determinant of [3(BT+2A)] * (AB-1) using Chio's Condensation Method. Chio’s Condensation Method is an n – 1 reduction method using the first element a11 as its reference

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 8E
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Given the following Matrices: Find the determinant of [3(BT+2A)] * (AB-1) using Chio's Condensation Method.

Chio’s Condensation Method is an n – 1 reduction method using the first element a11 as its reference

MATRICES AND SYSTEMS OF LINEAR EQUATIONS
PART I
1.
12 -5
6.
5
[-12
-18
19
19
-30
14
A =
6
-18
-9
-18
-15
B =
-5
-14
-21
3
-11
- 8
26
19
L21
- 3
-8
26
-301
10
1
16
-14
D =| 21
-28 -30
7
7
6
-2
3
6
30
C =
4
5
5
9
20 -30
10
29
3
-6
7
-1
21
7
18
9
13
-26
4
25
-2
7
Perform the ff. operations:
1. [3(BT + 2A)] * (AB-1)
2. Determinant of #1 using Chios condensation method and Pivotal method
Transcribed Image Text:MATRICES AND SYSTEMS OF LINEAR EQUATIONS PART I 1. 12 -5 6. 5 [-12 -18 19 19 -30 14 A = 6 -18 -9 -18 -15 B = -5 -14 -21 3 -11 - 8 26 19 L21 - 3 -8 26 -301 10 1 16 -14 D =| 21 -28 -30 7 7 6 -2 3 6 30 C = 4 5 5 9 20 -30 10 29 3 -6 7 -1 21 7 18 9 13 -26 4 25 -2 7 Perform the ff. operations: 1. [3(BT + 2A)] * (AB-1) 2. Determinant of #1 using Chios condensation method and Pivotal method
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