Advertisements
Advertisements
Question
Evaluate: `|(1, -3, 12),(0, 2, -4),(9, 7, 2)|`
Solution
`|(1, -3, 12),(0, 2, -4),(9, 7, 2)|`
= `1|(2, -4),(7, 2)| - (-3)|(0, -4),(9, 2)| + 12|(0, 2),(9, 7)|`
= 1(4 + 28) + 3(0 + 36) + 12(0 – 18)
= 1(32) + 3(36) + 12(– 18)
= 32 + 108 – 216
= – 76
APPEARS IN
RELATED QUESTIONS
Evaluate the following determinant:
`|(0, "a", -"b"),(-"a", 0, -"c"),("b", "c", 0)|`
Find the value of x, if `|(x, -1, 2),(2x, 1, -3),(3, -4, 5)|` = 29
Evaluate: `|(1,a,a^2 - bc),(1,b,b^2 - ca),(1,c,c^2 - ab)|`
The cofactor of –7 in the determinant `|(2,-3,5),(6,0,4),(1,5,-7)|` is
The value of the determinant `[(a,0,0),(0,b,0),(0,0,c)]^2` is
Evaluate `|(10041,10042,10043),(10045,10046,10047),(10049,10050,10051)|`
Find the value of x if `|(x,-1,2),(2x,1,-3),(3,-4,5)|` = 29
Evaluate the following determinant:
`|(4, 7), (-7, 0)|`
Evaluate the following determinant:
`|(4,7),(-7,0)|`
Evaluate the following determinant:
`|(a,h,g),(h,b,f),(g,f,c)|`
Without expanding evaluate the following determinant.
`|(1,a,a+c),(1,b,c+a),(1,c,a+b)|`
Evaluate the following determinant:
`|(3, -5, 2),(1, 8, 9),(3, 7, 0)|`
Without expanding evaluate the following determinant.
`|(1,a,b+c),(1,b,c+a),(1,c, a+b)|`
Without expanding evaluate the following determinant.
`|(1,a,b+c),(1,b,c+a),(1,c,a+b)|`
Find the value of x if `|(x,-1,2),(2x,1,-3),(3,-4,5)|` = 29
Find the value of x if `|(x, 2x, 3),(-1, 1, -4),(3, -3, 5)|` = 29
Evaluate the following determinant:
`|(a, h, g),(h, b, f),(g, f, c)|`
