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Engineering Maths - Linear Algebra

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16. Rank of the matrix

 
0 0 -3
9 3 5
3 1 1
 

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17. Rank of matrix 

 
1 4 8 7
0 0 3 0
4 3 2 1
3 12 24 2
 

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18. Let A = ( aij ) be an n-rowed square matrix and I12 be the matrix obtained by interchanging the first and second rows of the n-rowed identity matrix. Then AJ12 is such that its first

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19. Eigen vector(s) of the matrix

 
0 0 α
0 0 0
0 0 0
 

is(are)

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20. Determinant of the matrix

 
1 0 0 0
100 1 0 0
100 200 1 0
100 200 300 1
 
is

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