Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
If the number of variables in a non-homogeneous system AX = B is n, then the system possesses a unique solution only when
पर्याय
p(A) = p(A, B) > n
p(A) = p(A, B) = n
p(A) = p(A, B) < n
none of these
उत्तर
p(A) = p(A, B) = n
APPEARS IN
संबंधित प्रश्न
Find the rank of the following matrices
`((3, 1, -5, -1),(1, -2, 1, -5),(1, 5, -7, 2))`
Solve the following system of equations by rank method
x + y + z = 9, 2x + 5y + 7z = 52, 2x – y – z = 0
Show that the following system of equations have unique solutions: x + y + z = 3, x + 2y + 3z = 4, x + 4y + 9z = 6 by rank method
The price of three commodities, X, Y and Z are and z respectively Mr. Anand purchases 6 units of Z and sells 2 units of X and 3 units of Y. Mr.Amar purchases a unit of Y and sells 3 units of X and 2 units of Z. Mr. Amit purchases a unit of X and sells 3 units of Y and a unit of Z. In the process they earn ₹ 5,000/-, ₹ 2,000/- and ₹ 5,500/- respectively. Find the prices per unit of three commodities by rank method
Choose the correct alternative:
The rank of the unit matrix of order n is
Choose the correct alternative:
If p(A) = r then which of the following is correct?
Choose the correct alternative:
If the rank of the matrix `[(lambda, -1, 0),(0, lambda, -1),(-1, 0, lambda)]` is 2, then λ is
Choose the correct alternative:
The system of linear equations x = y + z = 2, 2x + y – z = 3, 3x + 2y + k = 4 has unique solution, if k is not equal to
Choose the correct alternative:
Rank of a null matrix is
Find the rank of the matrix
A = `((1, -3, 4, 7),(9, 1, 2, 0))`
