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The rank of the matrix {:A=[(1,2,3),(4,5...

The rank of the matrix `{:A=[(1,2,3),(4,5,6),(3,4,5)]:}` is

Text Solution

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The correct Answer is:
2
We have,
`{:absA=abs((1,2,3),(4,5,6),(3,4,5)):}=1(25-24)-2(20-18)+3(16-15)=0`
Therefore, r(A) is less than 3.
We observe that `{:[(5,6),(4,5)]:}` is a non-singular square submatrix of order 2. Hence, r (A) =2.
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