Q1 Find rank of matrix of matrix A.
A= 5. 6
7. 8
minor of order 2 matrix is
5*8-7*6
=-2
That is -2 not 0.
so rank of matrix is 2.
Q2 Find rank of matrix A
A=2. -4
-1. 2
minor of matrix 2*2 is
=2*2- -4*-1
=0
so rank of matrix A is 1 because that minor is not zero.
Q3. Find rank of matrix H
H= 1. -1
3. -6
minor of matrix order 2 is
=-6*1- 3*-1
=-6+3
=-3
so rank of matrix is 2
Q4. Find the max rank of the matrix
A=1 4
3 2
rank of matrix =
1*2-4*3=2-12=-10
that is not equal to zero so rank of matrix is 2.
Q5. Find the max rank of the matrix
A=1. 1. 1
1. -1. 0
1. 1. 1
First find the minor of 3*3 matrix
=1*(-1-0)-1(1-0)+1(1- -1)
=-1-1+2=0
so 3*3 minor is 0 so 3 is not rank of matrix
now find minor of 2*2 matrix
=1*-1-1*1
=-1-1=-2
so max rank of matrix is 2.
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