We wish to solve the following system of linear equations by using Cramer's Rule (the Method of Determinants). 2x -7x 10x (i) det 0 1 (ii) det Begin by calculating these four determinants: -3 -1 01 4 1 05] (iv) det 2 (iii) det -7 10 8 Y + 4y + z + 5z y N 2 -7 0 1 10 5 || -3 01 -1 4 0 0 1 = 2 -1 -7 4 1 10 05 Now divide these determinants appropriately to find x, y, and z, rounding to two decimal places where necessary. -3 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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We wish to solve the following system of linear equations by using Cramer's Rule (the Method of
Determinants).
2x
-7x
10x
(i) det 0
1
(ii) det
0
+ 5z = 1
Begin by calculating these four determinants:
-3 -1 01
4 1
05]
(iv) det
2
(iii) det -7
10
x
Y
+ 4y + z
y
2
2
-7 0 1
10
5
||
-3 01
-1
4
0
0 1
=
2 -1
-7 4 1
10
05
Now divide these determinants appropriately to find x, y, and z, rounding to two decimal places where
necessary.
-3
=
Transcribed Image Text:We wish to solve the following system of linear equations by using Cramer's Rule (the Method of Determinants). 2x -7x 10x (i) det 0 1 (ii) det 0 + 5z = 1 Begin by calculating these four determinants: -3 -1 01 4 1 05] (iv) det 2 (iii) det -7 10 x Y + 4y + z y 2 2 -7 0 1 10 5 || -3 01 -1 4 0 0 1 = 2 -1 -7 4 1 10 05 Now divide these determinants appropriately to find x, y, and z, rounding to two decimal places where necessary. -3 =
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