Mathematics 2015 JAMB Past Questions - Question 30: Find the value of | 0 3 2 | 1 7 8 0 5 4

Correct Answer

D

Explanation

|0 3 2 | 1 7 8 0 5 4=0|7 8 | -3|1 8| +2|1 7| 5 4 0 4 0 5=0-3(4)+2(5)=12+10=-2It seems like you're trying to find the determinant of a 3x3 matrix. To do this, we can use the following formula:| a b c || d e f | = a(ei - fh) - b(di - fg) + c(dh - eg)Using this formula, we can calculate the determinant of the given matrix:| 0 3 2 || 1 7 8 || 0 5 4 |= 0(7*4 - 8*5) - 3(1*4 - 8*0) + 2(1*5 - 7*0)= 0(28 - 40) - 3(4 - 0) + 2(5 - 0)= 0(-12) - 3(4) + 2(5)= 0 + (-12) + 10= -2Therefore, the value of the determinant of the given matrix is -2.It seems like you're trying to find the determinant of a 3x3 matrix. To do this, we can use the following formula:| a b c || d e f | = a(ei - fh) - b(di - fg) + c(dh - eg)Using this formula, we can calculate the determinant of the given matrix:| 0 3 2 || 1 7 8 || 0 5 4 |= 0(7*4 - 8*5) - 3(1*4 - 8*0) + 2(1*5 - 7*0)= 0(28 - 40) - 3(4 - 0) + 2(5 - 0)= 0(-12) - 3(4) + 2(5)= 0 + (-12) + 10= -2Therefore, the value of the determinant of the given matrix is -2.