4. Verify x + (y + z) = (x + y) + z for following values of x, y and z.
i) x=3/4 y=5/6 z= -7/8
ii) x=3/5 y= -6/9 z= 2/10
Answers
Answered by
0
Answer:
Step-by-step explanation:
Given system of equations
x−y+z=4
2x+y−3z=0
x+y+z=2
This can be written as
AX=B
where A=
⎣
⎢
⎢
⎡
1
2
1
−1
1
1
1
−3
1
⎦
⎥
⎥
⎤
,X=
⎣
⎢
⎢
⎡
x
y
z
⎦
⎥
⎥
⎤
,B=
⎣
⎢
⎢
⎡
4
0
2
⎦
⎥
⎥
⎤
Here,
∣A∣=1(1+3)+1(2+3)+1(2−1)
⇒∣A∣=4+5+1=10
Since, ∣A∣
=0
Hence, the system of equations is consistent and has a unique solution given by X==A
−1
B
Answered by
0
Step-by-step explanation:
Given system of equations
x-y +z = 4 x+y+z=2
2x + y − 3z = 0
This can be written as
AX = B
−1 1 1 1 -3 ,X = 1 where A = 2 1 X y B = 0
Here,
|A| = 1(1 + 3) + 1(2 + 3) +1(2 — 1)
⇒ A=4+ 5+1=10
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