Mathematics 9 (Complete Solutions)

Q3
Find the values of a, b, c and d which satisfy the matrix equation.

 
a + c a + 2b
c - 1 4d - 6
 
  =  
 
0 -7
3 2d
 
Solution: 
a + c = 0     ------------(i)
c - 1 = 3     ------------(ii)
a + 2b = -7     ------------(iii)
4d - 6 = 2d     ------------(iv)


c - 1 = 3     ------------From   (ii)
c = 3 + 1
c = 4


a + c = 0     ------------(i)
By putting the value of "c" in (i)
a + 4 = 0
a = 0 - 4
a = -4


4d - 6 = 2d     ------------From   (iv)
4d - 2d = 6
d(4 - 2) = 6
d(2) = 6
d =
6
2
d = 3


a + 2b = -7     ------------(iii)
By putting tha value of "a" in (iii)

-4 +2b = -7
2b = -7 + 4
2b = -3
b = -
3
2


Answer
a = -4          b = -
3
2
         c = 4          d = 3

Other Topics

;