Pertanyaan
A=(} 2&3 4&x ) Diketahui matriks di atas nilai x agar matriks menjadi singular ac
Solusi
4.2
(354 Suara)
Leena
ahli ยท Tutor selama 3 tahun
Jawaban
matrix is singular if its determinant is equal to zero. Let's find the determinant of matrix A and set it equal to zero to solve for x:**1. Find the Determinant:**The determinant of a 2x2 matrix is calculated as follows:```det(A) = (ad - bc) ```Where:* a = 2* b = 3* c = 4* d = xTherefore:```det(A) = (2 * x) - (3 * 4) = 2x - 12```**2. Set the Determinant to Zero:**For the matrix to be singular, the determinant must be zero:```2x - 12 = 0```**3. Solve for x:**```2x = 12x = 6```**Therefore, the value of x that makes the matrix singular is x = 6.**