Maths
General
Easy
Question
If the matrix A = has rank 3, then 


 y = 0

The correct answer is:
Here the rank of A is 3
Therefore, the minor of order 3 of A 0.
0
(y + a + b + c) 0
[Applying and taking (y + a + b + c) common from C_{1}]
(y + a + b + c) 0
(y + a + b + c) (y^{2}) 0 [Expanding along C_{1}]
y 0 and y–(a + b + c)
Hence (D) is correct answer.
Related Questions to study
maths
If A is nonsingular matrix of order 3 × 3, then adj (adj A) is equal to 
If A is nonsingular matrix of order 3 × 3, then adj (adj A) is equal to 
mathsGeneral
maths
For k =, the value of a, b, c such that PP' = I, where P = is
For k =, the value of a, b, c such that PP' = I, where P = is
mathsGeneral
maths
If matrix A = where a, b, c are real positive numbers, abc = 1 and A^{T} A = 1, then the value of a^{3} + b^{3} + c^{3} is 
If matrix A = where a, b, c are real positive numbers, abc = 1 and A^{T} A = 1, then the value of a^{3} + b^{3} + c^{3} is 
mathsGeneral
maths
If [x] stands for the greatest integer less or equal to x, then in order than the set of equations x – 3y = 4 ; 5x + y = 2 ; [2]x – [e]y = [2a] may be consistent, then ‘a’ should lie in 
If [x] stands for the greatest integer less or equal to x, then in order than the set of equations x – 3y = 4 ; 5x + y = 2 ; [2]x – [e]y = [2a] may be consistent, then ‘a’ should lie in 
mathsGeneral
maths
If the matrix is orthogonal, then 
If the matrix is orthogonal, then 
mathsGeneral
maths
For each real x such that . Let A (x) denote the matrix (1 – x)^{–1/2} and where and z = then k is 
For each real x such that . Let A (x) denote the matrix (1 – x)^{–1/2} and where and z = then k is 
mathsGeneral
maths
If the system of equations x + 2y – 3z = 2, (k + 3)z = 3, (2k + 1)y + z = 2 is inconsistent, then value of k can be 
If the system of equations x + 2y – 3z = 2, (k + 3)z = 3, (2k + 1)y + z = 2 is inconsistent, then value of k can be 
mathsGeneral
maths
If A is a 3 × 3 skewsymmetric matrix, then A is given by 
If A is a 3 × 3 skewsymmetric matrix, then A is given by 
mathsGeneral
chemistry
The solubility of iodine in water is greatly increased by:
The solubility of iodine in water is greatly increased by:
chemistryGeneral
maths
Let A = if A^{–1} = xA + yI_{2} then x and y are respectively 
Let A = if A^{–1} = xA + yI_{2} then x and y are respectively 
mathsGeneral
maths
The value of a for which the system of equationsx + y + z = 0ax + (a + 1)y + (a + 2)z = 0 a^{3}x + (a + 1)^{3}y + (a + 2)^{3}z = 0has a nonzero solution is 
The value of a for which the system of equationsx + y + z = 0ax + (a + 1)y + (a + 2)z = 0 a^{3}x + (a + 1)^{3}y + (a + 2)^{3}z = 0has a nonzero solution is 
mathsGeneral
maths
If A is nonsingular matrix of order 3 × 3, then adj (adj A) is equal to 
If A is nonsingular matrix of order 3 × 3, then adj (adj A) is equal to 
mathsGeneral
maths
If A = , B = then 
If A = , B = then 
mathsGeneral
maths
Let A, B, C be three square matrices of the same order, such that whenever AB = AC then B = C, if A is 
Let A, B, C be three square matrices of the same order, such that whenever AB = AC then B = C, if A is 
mathsGeneral
maths
The inverse of a skew symmetric matrix (if it exists) is 
The inverse of a skew symmetric matrix (if it exists) is 
mathsGeneral