Jawab dengan jelas beserta caranya
1. Tentukan nilai p jika det(A) = 0
![a. A = \left[\begin{array}{ccc}-5&p+4\\p-2&1\end{array}\right]](https://tex.z-dn.net/?f=a.+A+%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-5%26p%2B4%5C%5Cp-2%261%5Cend%7Barray%7D%5Cright%5D+ "a. A = \left[\begin{array}{ccc}-5&p+4\\p-2&1\end{array}\right]")
![b. A = \left[\begin{array}{ccc}p-2&4&0\\2&p&0\\0&0&p-3\end{array}\right]](https://tex.z-dn.net/?f=b.+A+%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dp-2%264%260%5C%5C2%26p%260%5C%5C0%260%26p-3%5Cend%7Barray%7D%5Cright%5D+ "b. A = \left[\begin{array}{ccc}p-2&4&0\\2&p&0\\0&0&p-3\end{array}\right]")
2. Carilah semua x yang memenuhi
![\left[\begin{array}{ccc}x&0\\1&1-x\end{array}\right] = \left[\begin{array}{ccc}1&0&-2\\2&x&-3\\1&3&x-2\end{array}\right]](https://tex.z-dn.net/?f=+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%260%5C%5C1%261-x%5Cend%7Barray%7D%5Cright%5D+%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%26-2%5C%5C2%26x%26-3%5C%5C1%263%26x-2%5Cend%7Barray%7D%5Cright%5D+ "\left[\begin{array}{ccc}x&0\\1&1-x\end{array}\right] = \left[\begin{array}{ccc}1&0&-2\\2&x&-3\\1&3&x-2\end{array}\right]")
1. Tentukan nilai p jika det(A) = 0
2. Carilah semua x yang memenuhi
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0 = - 5 . 1 - (p + 4) (p - 2)
0 = - 5 - (p² + 2p - 8)
0 = - 5 - p² - 2p + 8
0 = - p² - 2p + 3
0 = p² + 2p - 3
0 = (p + 3) (p - 1)
p + 3 = 0 atau p - 1 = 0
p = - 3 atau p = 1
1.b) d.A = [(p - 2).p(p - 3) +4 .0 .0 + 0 .2 .0)] - [0 . p .0 +4 .2(p - 3) +(p - 2).0.0
0 = [p (p - 2)(p - 3)] - [ 4 .2 .(p - 3)]
0 = p³ - 5p² + 6p - 8p + 24
0 = p³ - 5p - 2p + 24
0 = (p - 2) (p - 3) (p + 4)
p - 2 = 0 atau p - 3 = 0 atau p + 4 = 0
p = 2 atau p = 3 atau p = - 4
no.2 ... cek kembali soalnya ...... karena matrik 2 x 2 ≠ 3 x 3