If the determinant of matrix H below is -52, evaluate the determinants of the given matrices below without expansion by stating the theorem used and giving a short computation, if needed by the theorem. 1-5 1 2 0 3.1. 3.2. |A| = = |E| = -5 1 2 0 1-5 3 -4 -4 10 2 -9 H = 2 0 0 5 3 −4| 1 3 -4 = -52 -4 5 1 3.3. 3.4. |T| = |E| = -5 2 0 1 -4 5 3 -4 1 1-5 0 2 154 3 1 -4 -41
If the determinant of matrix H below is -52, evaluate the determinants of the given matrices below without expansion by stating the theorem used and giving a short computation, if needed by the theorem. 1-5 1 2 0 3.1. 3.2. |A| = = |E| = -5 1 2 0 1-5 3 -4 -4 10 2 -9 H = 2 0 0 5 3 −4| 1 3 -4 = -52 -4 5 1 3.3. 3.4. |T| = |E| = -5 2 0 1 -4 5 3 -4 1 1-5 0 2 154 3 1 -4 -41
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Setup the augmented determinant then evaluate the matrix by diagonal method to find the value of the unknown variable ?.
Transcribed Image Text:If the determinant of matrix H below is -52, evaluate the determinants of the given matrices below
without expansion by stating the theorem used and giving a short computation, if needed by the theorem.
-5 1
3
2
-4 -4 =
0
5
1
3.1.
3.2.
|A|
=
|E| =
1-5 1
2
-4
0
10
-5
2
0
-9
0
5
H =
3
-4
T~ ~TH
-4
3.3.
3.4.
-52
5
2
|T| = 1 -4
20
3 -4
-5 1
|E| 0 5
2
05131
-4 -41
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