Determinants questions
307 published questions with worked solutions.
- Consider the system of equations cases x - 2y + 3z = -1 -x + y - 2z = k x - 3y + 4z = 1 cases STATEMENT-1: The system of...
- Consider the system of equations ax + by = 0, cx + dy = 0; where a, b, c, d 0, 1 . STATEMENT-1: The probability that the system...
- The least value of the product xyz (such that x, y and z are real numbers) for which the determinant vmatrix x&1&1 1&y&1 1&1&z...
- If vmatrix x^2+x & x+1 & x-2 2x^2+3x-1 & 3x & 3x-3 x^2+2x+3 & 2x-1 & 2x-1 vmatrix = ax - 12, then a is equal to:
- The system of linear equations x + y - z = 0, x - y - z = 0, x + y - z = 0 has a non-trivial solution for
- The number of real values of for which the system of linear equations 2x+4y- z = 0, 4x + y + 2z = 0 and x + 2y + 2z = 0, has...
- If S = x [0,2 ]: vmatrix 0& x&- x x&0& x x& x&0 vmatrix = 0 , then _ x S ( 3 + x ) is equal to:
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