ADIKAVI NANNAYA UNIVERSITY:: RAJAMAHENDRAVARAM
UNIVERSITY COLLEGE OF ENGINEERING
Matrices –Assignment-1
Course: IB.Tech (CSE,EIE &ECE) Subject: LA&C(Mathematics)
a). Define the Rank of the Matrix with an example.1.
b). Define Consistency and Inconsistency of the system of linear equations.
c). Define linear system of equations.
d).What is the normal form of a matrix?
e). If the matrix of order m × n, then that would be the rank of the matrix.
f). Find the rank of the singular matrix of order 4 × 4
g).What type of the solutions exists for 2x + 3y= 5, 4x + 6y= 10 system?
h).The rank of 2 × 2 matrix with all elements are 3.
i). Write the condition for the homogeneous system of equations possess trivial solutions.
j). Find the values of x,y,z from the following system of equations.
2 3 10, 2 2, 6x y z y z z .
Reduce the matrix A=
2 3 7
3 2 4
1 3 1
into Echelon form and hence find its rank.2.
Convert the given matrix A=
1 2 3
1 4 2
2 6 5
into Echelon form and hence find its rank.3.
Find the inverse of a matrix
2 1 3
1 1 1
1 1 1
using elementary operations.4.
Define the rank of the matrix. Find the rank of
1 2 3 0
2 4 3 2
3 2 1 3
6 8 7 5
5.
4. Reduce the following matrix into its normal form and hence find its rank
2 3 1 1
1 1 2 4
3 1 3 2
6 3 0 7
