Advertisements
Advertisements
Question
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
Options
p(A) = p(A, B) > n
p(A) = p(A, B) = n
p(A) = p(A, B) < n
none of these
Advertisements
Solution
p(A) = p(A, B) = n
APPEARS IN
RELATED QUESTIONS
Find the rank of the following matrices
`((-1, 2, -2),(4, -3, 4),(-2, 4, -4))`
Solve the following system of equations by rank method
x + y + z = 9, 2x + 5y + 7z = 52, 2x – y – z = 0
For what values of the parameter λ, will the following equations fail to have unique solution: 3x – y + λz = 1, 2x + y + z = 2, x + 2y – λz = – 1
An amount of ₹ 5,000/- is to be deposited in three different bonds bearing 6%, 7% and 8% per year respectively. Total annual income is ₹ 358/-. If the income from the first two investments is ₹ 70/- more than the income from the third, then find the amount of investment in each bond by the rank method
Choose the correct alternative:
The rank of m n × matrix whose elements are unity is
Choose the correct alternative:
The rank of the unit matrix of order n is
Choose the correct alternative:
The rank of the diagonal matrix `[(1, , , , ,),(, 2, , , ,),(, , -3, , ,),(, , , 0, ,),(, , , , 0,),(, , , , ,0)]`
Choose the correct alternative:
If p(A) = p(A, B)= the number of unknowns, then the system is
Choose the correct alternative:
If p(A) ≠ p(A, B) =, then the system is
Choose the correct alternative:
The system of equations 4x + 6y = 5, 6x + 9y = 7 has
