106{y} = 0.7, [z] = -4
{z} = 0.4 [x] = 7
{x} = 0.3 [y] = 5
then u can find the answers...... i need some time to post the steps so please wait..
If x, y, z ε R satisfies the sstem of equations
x+[y]+{z}=12.7
[x]+{y}+z=4.1
{x}+y+[z]=2........{}-fractional &[]-greatest integer fn.
COLUMN 1 COLUMN 2
A) {x}+{y} p) 7.7
B) [z]+[x] q) 1.1
C) x + {z} r) 1
D) z+[y]-{x} s) 3
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UP 0 DOWN 0 0 5
5 Answers
106
11determinant se ho jayega
take the vaiables and use materices operations
x= [x]+{x} se lamba padega
106write the above three equations as:
[x] + {x} + [y] + {z} = 12.7 ............ (i)
[x] + {y} + [z] + {z} = 4.1 ............ (ii)
{x} + [y] + {y} + [z] = 2 ............. (iii)
(i) - (ii) - (iii),
u get
-2( {y} + [z]) = 6.6
==> {y} + [z] = -3.3
So, [z] = -4, {y} = 0.7
put these values in (iii),
{x} + [y] = 5.3
==> {x} = 0.3 and [y] =5
Put the values in (ii)
[x] + {z} = 7.4
==> [x] = 7 and {z} = 0.4