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Problem: rank [[8,-6,2],[-6,7,-4],[2,-4,3]] [ Calculator, Method and examples ]

Solution:
Your problem -> rank [[8,-6,2],[-6,7,-4],[2,-4,3]]

Rank
 8 -6 2 -6 7 -4 2 -4 3

Now, reduce this matrix
R_1 larr R_1-:8

=
 1 -3/4 1/4 -6 7 -4 2 -4 3

R_2 larr R_2+6xx R_1

=
 1 -3/4 1/4 0 5/2 -5/2 2 -4 3

R_3 larr R_3-2xx R_1

=
 1 -3/4 1/4 0 5/2 -5/2 0 -5/2 5/2

R_2 larr R_2-:5/2

=
 1 -3/4 1/4 0 1 -1 0 -5/2 5/2

R_3 larr R_3+(5/2)xx R_2

=
 1 -3/4 1/4 0 1 -1 0 0 0

The rank of a matrix is the number of non all-zeros rows
:. Rank = 2

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