Class 11
MATHS
Matrices

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

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Text Solution

123none of these

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