Question

find the value of x for matrix
x+a. b c
a x+b c. is non singular?
a. b. x+c​

Answer 1

Answer:

Correct option is

A

R−{0,−(a+b+c)}

Given A is non singular ∴∣A∣



=0

Applying C

1

→C

1

+C

2

+C

3

∣

∣

∣

∣

∣

∣

∣

∣

x+a+b+c

x+a+b+c

x+a+b+c

b

x+b

b

c

c

x+c

∣

∣

∣

∣

∣

∣

∣

∣



=0

Applying C

1

→C

1

+C

2

+C

3

⇒(x+a+b+c)

∣

∣

∣

∣

∣

∣

∣

∣

1

0

1

b

x

b

c

0

x+c

∣

∣

∣

∣

∣

∣

∣

∣



=0

∴ Required values of x is R−(0,−(a+b+c))

Hence, option 'A' is correct.