The adjoint of the matrix A = 102210031 is :
- 162 - 21 - 4631
16 - 2 - 2146 - 31
612 4 - 1 263 - 1
- 621 4 - 2 131 - 6
If p + q + r = a + b + c = 0, then the determinant
paqbrcqcrapbrbpcqa = ?
0
1
pa + qb + rc
pa + qb + rc + a + b + c
A.
p + q + r = a + b + c = 0= paqbrcqcrapbrbpcqa= pqra3 + b3 + c3 - abcp3 + q3 + r3= pqr3abc - abc3pqr= 0 ∵ a3 + b3 + c3 = 3abc p3 + q3 + r3 = 3pqr
Which of the following determinants have value 'zero' ?
I. 411579792953II. 1ab + c1bc + a1ca + bIII. 0cb - c0a - b - a0
Select the correct answer using the code given below
1 and 2 only
2 and 3 only
1 and 3 only
1, 2 and 3
Let ax3 + bx2 +cx + d = x + 12x3x2x + 3x + 1x2 - x3x + 45x - 1, then
What is the value of c ?
- 1
34
35
50
What is the value of a + b + c + d ?
62
63
65
68
If m = 1001 and n = 01- 10, then what is the value of the determinant of mcosθ - nsinθ ?
2
If x + a + b + c = 0, then what is the value of x + abcax + bcabx +c = ?
(a + b + c)2
a2 + b2 + c2
a + b + c - 2
What are the values of x that satisfy the equation
x022x21111 + 3x02x221011 = 0
- 2 ± 3
- 1 ± 3
- 1 ± 6
- 2 ± 6
What is the value of the determinant 1!2!3!2!3!4!3!4!5! ?
12
24
36
What is the value of the determinant ii2i3i4i6i8i9i12i15
- 2
4i
- 4i