Adjoint of a Matrix
Trending Questions
Q. Question 7
In a magic square each row, column and diagonal have the same sum. Check which of the following is a magic square.
5−1−41−100−5−27−4−3−203−3−64−7(i)(ii)
In a magic square each row, column and diagonal have the same sum. Check which of the following is a magic square.
5−1−41−100−5−27−4−3−203−3−64−7(i)(ii)
Q. If A is a square matrix of order 3 such that |A|=2 then ∣∣(adj A−1)−1∣∣ is
- 1
- 2
- 4
- 8
Q.
If A is a square matrix of order 4 and the value of |A| is equal to 2. Then the value of |Adj(A)| is,
2
√2
8
16
Q. If A=[5a−b32] and A adj A=AAT, then 5a + b is equal to
- -1
- 5
- 4
- 13
Q. The smallest positive divisor greater than 1 of a composite number 'a' is ______
- <√a
- ≤√a
- =√a
- >√a
Q. The sum of the three numbers is 6, Twice the third number when added to the first number gives 7. On adding the sum of the second and third to thirce the first number, we get 12. find the numbers, using adjoin method.
Q. If A is a diagonal matrix of order 3 × 3 is commutative with every square matrix of order 3 × 3 under multiplication and trace (A) = 12, then
- |A|=64
- |A|=16
- |A|=12
- |A|=0
Q. Given
2x−y+2z=2x−2y+z=−4x+y+λz=4
then the value of λ such that the given system of equations has no solution, is ?
- 3
- 1
- 0
- -3
Q. Let a, x, b be in A.P. ; a, y, b be in G.P. and a, z, b be in H.P. If x=y+2 and a=5z then
- y2=xz
- x>y>z
- a=9, b=1
- a=94, b=14
Q. If [αβγ−α] is to be the square root of the two-rowed unit matrix, then α, β and γ should satisfy the relation
- 1+α2+βγ=0
- α2+βγ−1=0
- 1−α2+βγ=0
- 1−α2−βγ=0
Q.
If A is a square matrix of order 2 such that A2=0, then
none of the above
A=[αβγ−α], where α, β, γ are numbers such that α2+βγ=0
A=[αβγ−α] with α=±β
A=[α−α−β−β] with α2+β2=1
Q. If x – 3 and x - 1/3 are both factors of px2 + 5x + r , then show that p = r.
Q. If A=[2−3−41], then adj(3A2+12A) is equal to
- [51846372]
- [72−84−6351]
- [72−63−8451]
- [51638472]
Q. If 5x + 3 < 13 and x is a whole number, then find the values of x.
- 0, 1, 2
- -1, 0
- 0, 1
- 1, 2
Q. If A3=[0−i−i0] & A4=[0110] where i2=−1 then A2= _________
- [−i−00−i]
- [−100−1]
- [0−1−i0]
- [0ii0]
Q. In quadrilateral ABCD, if side DC is largest then AB+AD>DC−BC
If the above statement is true then mention answer as 1, else mention 0 if false
If the above statement is true then mention answer as 1, else mention 0 if false
Q. A varies as B and C jointly, and A=2 when B=35, C=1027. The value of A, when B=2, C=53 is
- 30
- 10
- 365
- none of these
Q. Let f(a, b)=∣∣
∣
∣∣aa2012a+b(a+b)201a+2b∣∣
∣
∣∣, then
- (a+b) is a factor of f(a, b).
- a+2b is a factor of f(a, b)
- ab is a factor of f(a, b)
- b+2a is a factor of f(a, b)
Q.
If P = ⎛⎜⎝1∝3133244⎞⎟⎠ is the adjoint of a 3x3 matrix A and det(A)=4, then α is equal to
4
11
5
0
Q. Give an example of a binomial of degree 8.