Use the fact that |CA| = |A to evaluate the determinant of the nxn matrix. 12 18 A = [ ¹² 6-24 STEP 1: Factor out the greatest common divisor. 12 18 6-24 = 12 X 2 1 3 STEP 3: Find the determinant of the original matrix. -396 -4 11 STEP 2: Find the determinant of the matrix found in Step 1. -11

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use the fact that |CA| = |A to evaluate the determinant of the nx n matrix.
12 18
6-24
STEP 1: Factor out the greatest common divisor.
A =
12 18
6 -24
= 12
X
2
1
3
STEP 3: Find the determinant of the original matrix.
-396
-4
STEP 2: Find the determinant of the matrix found in Step 1.
-11
11
Transcribed Image Text:Use the fact that |CA| = |A to evaluate the determinant of the nx n matrix. 12 18 6-24 STEP 1: Factor out the greatest common divisor. A = 12 18 6 -24 = 12 X 2 1 3 STEP 3: Find the determinant of the original matrix. -396 -4 STEP 2: Find the determinant of the matrix found in Step 1. -11 11
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