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

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 nxn matrix.
-[₁
12 18
6 -24
STEP 1: Factor out the greatest common divisor.
A =
12 18
6 -24
= 6 x
2
1
3
-4
STEP 2: Find the determinant of the matrix found in Step 1.
-11
STEP 3: Find the determinant of the original matrix.
-396
Transcribed Image Text:Use the fact that |CA| = |A to evaluate the determinant of the nxn matrix. -[₁ 12 18 6 -24 STEP 1: Factor out the greatest common divisor. A = 12 18 6 -24 = 6 x 2 1 3 -4 STEP 2: Find the determinant of the matrix found in Step 1. -11 STEP 3: Find the determinant of the original matrix. -396
Use the fact that |CA| = c|A| to evaluate the determinant of the nxn matrix.
18
A = [12_24]
6
STEP 1: Factor out the greatest common divisor.
12 18
6 -24
= 12 X
2
1
3
-4
STEP 2: Find the determinant of the matrix found in Step 1.
-11
STEP 3: Find the determinant of the original matrix.
-396
Transcribed Image Text:Use the fact that |CA| = c|A| to evaluate the determinant of the nxn matrix. 18 A = [12_24] 6 STEP 1: Factor out the greatest common divisor. 12 18 6 -24 = 12 X 2 1 3 -4 STEP 2: Find the determinant of the matrix found in Step 1. -11 STEP 3: Find the determinant of the original matrix. -396
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