MATHEMATICS
JAMB 2012 - Question 23
Mathematics 2012 JAMB Past Questions - Question 23: If |5 3| =|3 5| , find the value of x 2 4 5
A:
B:
C:
D:
Correct Answer
C
Explanation
5 3 3 5,x 2 = 4 510 -3x = 15 -20- 3x = -15x =5The equation |5 3| = |3 5| implies that the determinant of the matrix on the left side is equal to the determinant of the matrix on the right side.The determinant of a 2x2 matrix [a b; c d] is given by the formula ad - bc.For the left side of the equation:|5 3| = 5 * 5 - 3 * 3 = 25 - 9 = 16For the right side of the equation:|3 5| = 3 * 5 - 5 * 3 = 15 - 15 = 0Since 16 is not equal to 0, the equation |5 3| = |3 5| is not true.Therefore, we cannot determine the value of x x 2 4 5 based on the given equation.
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