Determining the Rank of a Matrix A=((1,2,4),(3,6,5))

atgnybo4fq 2022-11-12 Answered
Determining the Rank of a Matrix
A = ( 1 2 4 3 6 5 )
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Answers (1)

Deanna Sweeney
Answered 2022-11-13 Author has 14 answers
The matrix has 2 rows and 3 columns, so the greatest possible value of its rank is 2. We pick any element which is not 0.
( 1 2 4 3 6 5 )
We form an order 2 minor containing 1.
( 1 2 4 3 6 5 )
We calculate this minor.
[ 1 2 3 6 ] = 6 6 = 0
We form another order 3 minor containing 1. A = ( 1 2 4 3 6 5 )
We calculate this minor.
[ 1 4 3 5 ] = 5 12 = 7 0
The rank is 2
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