For what values of a, b, c and d the following matrix equation is met:
a=__________ ; b= ________ ; c=_________ and d=_________
To find values of a,b,c and d :
(1)
Solution:
Step 1:
(2)
Step 2:
(3)
Step 3:
Adding (2) & (3), we get:
(4)
Step 4:
Equating RHS of (1) & (4), we get:
ac - 2 = 19
So,
ac = 21 (5)
- 5c = 15
So,
c = - 3 (6)
Substituting in (5), we get:
a = - 7 (7)
b - 5a = 40 (8)
Substituting (7), we get:
b = 5 (9)
ac+d+18 = 40 (10)
Substituting (7) & (6), we get:
d =
1
(11)
Thus, the solution is:
a = - 7
b = 5
c = - 3
d = 1
For what values of a, b, c and d the following matrix equation is met: a=__________...
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