Test Exam 12th Mathematics
Time:40Minutes ( Determinants ) MM:20
हल । ( Solve any 4 Questions. )
(1) A (a, b + c) , B (b, c + a) औ C (c,a + b) ह।
Show that the points A (a, b + c) , B (b, c + a) and C (c,a + b) are
collinear.
(2) A=[ ] B=[ ] =
ह।
If A = [ ] B=[ ] then prove that ) =
(3) A=[ ] ह – 5A + 7I = 0 ह , ह
।
If A = [ ] then prove that – 5A + 7I = 0 , with its help find
(4) A=[ ] A =I
If A = [ ] then prove that A =I
(5) ल ह हल -
Solve the following system of equatons by matrix method:
x+2y+z=7
x + 3z = 11
2x - 3y = 1
(6) A=[ ] A(AdjA) = (AdjA)A = | |
If A = [ ] then prove that A(AdjA) = (AdjA)A = | |
Time:40Minutes ( Determinants ) MM:20
हल । ( Solve any 4 Questions. )
(1) A (a, b + c) , B (b, c + a) औ C (c,a + b) ह।
Show that the points A (a, b + c) , B (b, c + a) and C (c,a + b) are
collinear.
(2) A=[ ] B=[ ] =
ह।
If A = [ ] B=[ ] then prove that ) =
(3) A=[ ] ह – 5A + 7I = 0 ह , ह
।
If A = [ ] then prove that – 5A + 7I = 0 , with its help find
(4) A=[ ] A =I
If A = [ ] then prove that A =I
(5) ल ह हल -
Solve the following system of equatons by matrix method:
x+2y+z=7
x + 3z = 11
2x - 3y = 1
(6) A=[ ] A(AdjA) = (AdjA)A = | |
If A = [ ] then prove that A(AdjA) = (AdjA)A = | |