
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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#3
Find the determinant of the matrix,
L-8 -3 -8]
using the method of Minor's by expanding along the first row.
The formula for det A using the method of Minor's by expanding along the first row for the matrix A
above is,
for 3 appropriate submatrices A11, A12, and A13 of the matrix A.
(a) The matrix A11 is
(b) The determinant of the matrix A₁1 is
det A11 =
(c) The matrix A12 is
C
SEP
29
-8-8
-4
A = -8 6 2
det A = (-8 x det A₁1) - (- 8 x det A12) + (- 4 x det A13)
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Transcribed Image Text:ce
#3
Find the determinant of the matrix,
L-8 -3 -8]
using the method of Minor's by expanding along the first row.
The formula for det A using the method of Minor's by expanding along the first row for the matrix A
above is,
for 3 appropriate submatrices A11, A12, and A13 of the matrix A.
(a) The matrix A11 is
(b) The determinant of the matrix A₁1 is
det A11 =
(c) The matrix A12 is
C
SEP
29
-8-8
-4
A = -8 6 2
det A = (-8 x det A₁1) - (- 8 x det A12) + (- 4 x det A13)
$
4
%
5
♫A
G Search or type URL
A
6
MacBook Pro
&
7
*
8
+
9

Transcribed Image Text:#
(c) The matrix A12 is
(d) The determinant of the matrix A12 is
det A12
=
(e) The matrix A13 is
(f) The determinant of the matrix A13 is
det A13 =
(g) The determinant of the matrix A is
det A =
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- @ 2 F2 Find the determinant of the matrix, W using the method of Minor's by expanding along the first row. The formula for det A using the method of Minor's by expanding along the first row for the matrix A above is, for 3 appropriate submatrices A11, A12, and A13 of the matrix A. (a) The matrix A11 is (b) The determinant of the matrix A₁1 is det A11 = A (c) The matrix A12 is 20 F3 A = det A = (- 6 x det A₁1)-(-3 × det A12) + (-9 x det A13) (d) The determinant of the matrix Asis E $ 4 F4 R -6-3 -97 -6 8 -1 -7 -7 -1, % 5 F6 MacBook Air 6 F6 Y & 7 F7 * 00 8 F8 ( F9 JO Oarrow_forward2. Box all answers. I need the det matrices numbers as I already know the first answer is yes and the compute part is 185arrow_forwardThe determinant of the matrix 9 1 5 -3 3 A = -9 -6 -6 -8 -1 is Hint: Find a good row or column and expand by minors.arrow_forward
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