Chemical Engineering > GATE 2024 > Linear Algebra
Consider a linear homogeneous system of equations Ax = 0, where A is an π Γ π
matrix, x is an π Γ 1 vector and 0 is an π Γ 1 null vector. Let π be the rank of A. For
a non-trivial solution to exist, which of the following conditions is/are satisfied?
A
Determinant of A=0
B
r=n
C
r
D
Determinant of Aβ 0
Correct : a, c
Similar Questions
If a matrix π is defined as the sum of all the eigenvalues of π3 is
equal to __________ (in integer).
Given matrix the ordered pair (π₯,π¦) for which det(π΄)=0 is
A system of n homogeneous linear equations containing n unknowns will have non-trivial solutions if and only if the determinant of the coefficient matrix is
Total Unique Visitors
Loading......