Question

1) Solve the following determinant equation
a)| X -4 | = 0
| -1 X |​

Answer 1

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