Diketahui ![\left[\begin{array}{ccc}p-1&p\\1-q&q\\\end{array}\right]](https://tex.z-dn.net/?f=+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dp-1%26p%5C%5C1-q%26q%5C%5C%5Cend%7Barray%7D%5Cright%5D+ "\left[\begin{array}{ccc}p-1&p\\1-q&q\\\end{array}\right]")
matriks singular. Jika p dan q memenuhi persamaan 2x^2 + x - a = 0 maka nilai a adalah ...
a. -4
b. -1/2
c. 1/2
d. 2
e. 4
a. -4
b. -1/2
c. 1/2
d. 2
e. 4
More Questions From This User See All
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
Verified answer
Jawabmatriks singular Det = 0
q(p-1) - p(1- q) = 0
pq - q - p + pq = 0
2pq = p + q ...(i)
2x² + x - a = 0
p + q = -1/2 ...(ii)
p q = - a/2...(iii)
(ii dan iii) substitusikan ke (i)
2pq = p + q
2(-a/2) = - 1/2
- a = - 1/2
a= 1/2
Verified answer
Matriks Singulardeterminan = 0
2x² + x - a = 0
p + q = -b/a = -1/2
p . q = c/a = -a/2
det = 0
q(p - 1) - p(1 - q) = 0
pq - q - p + pq = 0
2pq - (p + q) = 0
2(-a/2) - (-1/2) = 0
-a + 1/2 = 0
a = 1/2