Question
If the homogeneous system of equations x + y + z
= 0 2x + 3y + 4z = 0 has a non-trivial solution, then the value of k is: 3x + 5y + kz = 0Solution
We are given a homogeneous system of equations: x + y + z = 0 2x + 3y + 4z = 0 3x + 5y + kz = 0 We are told the system has a non-trivial solution , and we are to find the value of A homogeneous system has a non-trivial solution if and only if the determinant of the coefficient matrix is zero , i.e., the rows are linearly dependent . Write the coefficient matrix 
96, 100, 86, 108, 80, 116
13 74 355 1416 4245
- Find the wrong number in the given number series.
6, 14, 42, 105, 230, 446 12, 18, 14, 17, 16, 15, 18, 15
54, 58, 67, 92, 173, 262
Find the wrong number in the given number series.
13, 20, 31, 44, 62, 80
- Find the wrong number in the given number series.
5, 30, 255, 860, 2105, 4130 Find the wrong number in the given number series.
334, 301, 271, 251, 239, 233
Find the wrong number in the given number series.
3, 7, 22, 89, 445, 2677120, 240, 80, 320, 60, 384
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