NEW
Font size
WorksheetsLinear Algebra Quiz 1-J sec
Total questions: 10
Worksheet time: 20mins
Rank of the matrix is denoted by
σ
δ
ρ
None of these
The condition for Inconsistent in Test for consistency is
AX = B
ρ(A) = ρ(A : B)
ρ(A) ≠ ρ(A : B)
r < n
In consistency of system of linear equations the infinite solution has . unknowns.
n
r
(n+r)
(n-r)
The condition for unique solution in Test for consistency is
ρ(A) = ρ(A : B) = r = n
ρ(A) = ρ(A : B) = r < n
ρ(A) = ρ(A : B) = r > n
ρ(A) = ρ(A : B) = r ≠ n
The Augumented matrix is denoted by
A = B
A : B
A ≠ B
None of these
In Gauss-Elimination method the Coefficient matrix A is reduced to a
Upper Triangular matrix
Lower Triangular matrix
Diagonal matrix
Scalar matrix
In Gauss-Jordan method the Coefficient matrix is reduced to a
Upper Triangular matrix
Lower Triangular matrix
Diagonal matrix
Scalar matrix
To apply Gauss-Seidel Method the system equations will be
Non-Linear
Diagonally Dominant
Homogeneous
non-Homogeneous
The number of Eigen values present in 3 × 3 matrix is
2
3
1
0
Rayleigh’s Power method is used to find the
Largest Eigen value
Smallest Eigen value
Positive Eigen value
Negative Eigen value
