1) Solve the following determinant equation
a)| X -4 | = 0
| -1 X |
Answers
Answered by
0
Answer:
-7
Step-by-step explanation:
Answer
∣
∣
∣
∣
∣
∣
∣
∣
x+2
x+6
x−1
x+6
x−1
x+2
x−1
x+2
x+6
∣
∣
∣
∣
∣
∣
∣
∣
=0
R
1
→R
1
+R
2
+R
3
∣
∣
∣
∣
∣
∣
∣
∣
3x+7
x+6
x−1
3x+7
x−1
x+2
3x+7
x+2
x+6
∣
∣
∣
∣
∣
∣
∣
∣
=0
(3x+7)
∣
∣
∣
∣
∣
∣
∣
∣
1
x+6
x−1
1
x−1
x+2
1
x+2
x+6
∣
∣
∣
∣
∣
∣
∣
∣
=0
C
2
→C
2
−C
1
C
3
→C
3
−C
1
(3x+7)
∣
∣
∣
∣
∣
∣
∣
∣
1
x+6
x−1
0
−7
3
0
−4
7
∣
∣
∣
∣
∣
∣
∣
∣
=0
(3x+7)(−49+12)=0
x=
3
−7
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