Math, asked by deshmukhmari, 4 months ago

X+y+z= 6 ; x+y+z = 2 ; x+2y - z= 2 solve by cramers rule

Answers

Answered by karthik599255

0

Step-by-step explanation:

Answer

We have,

x+y+z=6,x−y+z=2,2x+y−z=1

Thus A=

∣

∣

∣

∣

∣

∣

∣

∣

1

1

2

1

−1

1

1

1

−1

∣

∣

∣

∣

∣

∣

∣

∣

X=

∣

∣

∣

∣

∣

∣

∣

∣

x

y

z

∣

∣

∣

∣

∣

∣

∣

∣

,B=

∣

∣

∣

∣

∣

∣

∣

∣

6

2

1

∣

∣

∣

∣

∣

∣

∣

∣

Now Solve A to get A=6

Now x=

A

A

x

=

∣

∣

∣

∣

∣

∣

∣

∣

1

1

2

1

−1

1

1

1

−1

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

6

2

1

1

−1

1

1

1

−1

∣

∣

∣

∣

∣

∣

∣

∣

=

6

6

=1

y=

A

A

y

=

∣

∣

∣

∣

∣

∣

∣

∣

1

1

2

1

−1

1

1

1

−1

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

1

1

2

6

2

1

1

1

−1

∣

∣

∣

∣

∣

∣

∣

∣

=

6

12

=2

z=

A

A

z

=

∣

∣

∣

∣

∣

∣

∣

∣

1

1

2

1

−1

1

1

1

−1

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

1

1

2

1

−1

1

6

2

1

∣

∣

∣

∣

∣

∣

∣

∣

=

6Answer

We have,

x+y+z=6,x−y+z=2,2x+y−z=1

Thus A=

∣

∣

∣

∣

∣

∣

∣

∣

1

1

2

1

−1

1

1

1

−1

∣

∣

∣

∣

∣

∣

∣

∣

X=

∣

∣

∣

∣

∣

∣

∣

∣

x

y

z

∣

∣

∣

∣

∣

∣

∣

∣

,B=

∣

∣

∣

∣

∣

∣

∣

∣

6

2

1

∣

∣

∣

∣

∣

∣

∣

∣

Now Solve A to get A=6

Now x=

A

A

x

=

∣

∣

∣

∣

∣

∣

∣

∣

1

1

2

1

−1

1

1

1

−1

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

6

2

1

1

−1

1

1

1

−1

∣

∣

∣

∣

∣

∣

∣

∣

=

6

6

=1

y=

A

A

y

=

∣

∣

∣

∣

∣

∣

∣

∣

1

1

2

1

−1

1

1

1

−1

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

1

1

2

6

2

1

1

1

−1

∣

∣

∣

∣

∣

∣

∣

∣

=

6

12

=2

z=

A

A

z

=

∣

∣

∣

∣

∣

∣

∣

∣

1

1

2

1

−1

1

1

1

−1

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

1

1

2

1

−1

1

6

2

1

∣

∣Answer

We have,

x+y+z=6,x−y+z=2,2x+y−z=1

Thus A=

∣

∣

∣

∣

∣

∣

∣

∣

1

1

2

1

−1

1

1

1

−1

∣

∣

∣

∣

∣

∣

∣

∣

X=

∣

∣

∣

∣

∣

∣

∣

∣

x

y

z

∣

∣

∣

∣

∣

∣

∣

∣

,B=

∣

∣

∣

∣

∣

∣

∣

∣

6

2

1

∣

∣

∣

∣

∣

∣

∣

∣

Now Solve A to get A=6

Now x=

A

A

x

=

∣

∣

∣

∣

∣

∣

∣

∣

1

1

2

1

−1

1

1

1

−1

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

6

2

1

1

−1

1

1

1

−1

∣

∣

∣

∣

∣

∣

∣

∣

=

6

6

=1

y=

A

A

y

=

∣

∣

∣

∣

∣

∣

∣

∣

1

1

2

1

−1

1

1

1

−1

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

1

1

2

6

2

1

1

1

−1

∣

∣

∣

∣

∣

∣

∣

∣

=

6

12

=2

z=

A

A

z

=

∣

∣

∣

∣

∣

∣

∣

∣

1

1

2

1

−1

1

1

1

−1

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

=

6

18

=3

18

=3

Answered by poojithapeela

0

Hope it helps you...

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