a13 -2а a12 a11 a11 – 2a31 а12 — 2аз2 а13 a12 a13 C = -5a21 — 5а22 —5а2 B= a21 + 6a31 a22 + 6a32 a23 -- 6a33 Let A = a21 a22 a23 %3D a31 a32 a33 a32 a33 a31 a32 a33 a31 а32 a33 a11 a12 a13 a12 + 5a11 a13 a31 a21 a22 a23 F a23 ,G D a21 a22 -- 5a21 a23 a21 a22 a11 a12 a13 a32 + 5a31 a33 а11 а12 a13 a31 Given |A| = 8. Find the determinants of the following matrices. 1. |B| 2. |C| = %3D 3. |D| = 4. [F| | %3D 5. |G| = 6.|– 5A| = 7. |A-1| = 8. |A"| =

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 84E: Explain the differences between Gaussian elimination and Gauss-Jordan elimination.
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Question 17
a11
a12
a13
- 2аз1
а12 — 2а32
a13 – 2a33
a11
a12
a13
11
C =
-5а21 - 5а22
-5a23
. В%3D| а21 + 6аз1 а22 баз2
a23 -- 6a33
Let A =
a21
a22
a23
a31
a32
a33
a31
a32
a33
a31
a32
a33
а32
a33
a11
a12
a13
a12 + 5a11
5a21 a23
a13
a31
a11
F
G
a21
a22
a23
-L
a21
a22
a23
D =
a21
a22
a12
a13
a11
a12
d13
a31
аз2 — 5аз1 азз
a11
Given |A| = 8. Find the determinants of the following matrices.
1. |B|
2. |C| =
3. |D| =
4. |F| =
5. |G| =
6. | – 5A| =
7. |A-1| =
%3D
8. |A"| =
Transcribed Image Text:Question 17 a11 a12 a13 - 2аз1 а12 — 2а32 a13 – 2a33 a11 a12 a13 11 C = -5а21 - 5а22 -5a23 . В%3D| а21 + 6аз1 а22 баз2 a23 -- 6a33 Let A = a21 a22 a23 a31 a32 a33 a31 a32 a33 a31 a32 a33 а32 a33 a11 a12 a13 a12 + 5a11 5a21 a23 a13 a31 a11 F G a21 a22 a23 -L a21 a22 a23 D = a21 a22 a12 a13 a11 a12 d13 a31 аз2 — 5аз1 азз a11 Given |A| = 8. Find the determinants of the following matrices. 1. |B| 2. |C| = 3. |D| = 4. |F| = 5. |G| = 6. | – 5A| = 7. |A-1| = %3D 8. |A"| =
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