Advertisements
Advertisements
प्रश्न
Evaluate the following determinant:
`|(0, "a", -"b"),(-"a", 0, -"c"),("b", "c", 0)|`
उत्तर
`|(0, "a", -"b"),(-"a", 0, -"c"),("b", "c", 0)|`
= `0|(0, -"c"),("c", 0)| -"a"|(-"a", - "c"),("b", 0)| -"b"|(-"a", 0),("b", "c")|`
= 0 – a (0 + bc) – b(– ac – 0)
= – a(bc) – b (– ac)
= – abc + abc
= 0
APPEARS IN
संबंधित प्रश्न
Evaluate the following determinants: `|(1, "i", 3),("i"^3, 2, 5),(3, 2, "i"^4)|`
Evaluate the following determinant:
`|("a", "h", "g"),("h", "b", "f"),("g", "f","c")|`
Find the minors and cofactors of all the elements of the following determinant.
`|(5,20),(0, -1)|`
Find the minors and cofactors of all the elements of the following determinant.
`|(1,-3,2),(4,-1,2),(3,5,2)|`
The cofactor of –7 in the determinant `|(2,-3,5),(6,0,4),(1,5,-7)|` is
Show that `|(0,ab^2,ac^2),(a^2b,0,bc^2),(a^2c,b^2c,0)| = 2a^3b^3c^3`
Evaluate the following determinant :
`|(4,7),(-7,0)|`
Evaluate the following determinant:
`|(a,h,g),(h,b,f),(g,f,c)|`
Find the value of x if `|(x, -1, 2),(2x, 1, -3),(3, -4, 5)| = 29`
Evaluate the following determinants:
`|(4,7),(-7,0)|`
Evaluate the following determinants:
`|(1, i, 3),(i^3, 2, 5),(3, 2, i^4)|`
Without expanding evaluate the following determinant.
`|(1, a, a + 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
Evaluate the following determinant:
`|(4,7),(-7,0)|`
Evaluate the following determinant:
`|(3, -5, 2), (1, 8, 9), (3, 7, 0)|`
Find the value of x if
`|(x, -1, 2),(2x, 1, -3), (3, -4, 5)| `= 29
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,-1,2),(2x,1,-3),(3,-4,5)|` = 29