Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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)
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5
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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
#
(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 =
с
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SEP
29
SA
Search or type URL
A
Å
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&
*
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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 = с Calculator Check Answer SEP 29 SA Search or type URL A Å MacBook Pro & *
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