Application of matrices and determinants - Set 3
15. Equivalent matrices have rank ………….
(1) Same (2) different
(3) May or may not be same (4) zero
16. By determinant method the value of ∆x for the equations
x-y = 2; 3y = 3x-7 is
(1)0 (2) 1 (3) 5 (4) 8
17. The solution of 7x+5y-13z+4 = 0, 9x+2y+11z = 37, 3x-y+z = 2 is
(1) x=1,y=3,z=2 (2) x=2,y=1,z=3 (3) x=3,y=2,z=1 (4) none of these
18. If A is a square matrix of order n, then A(adj A)
(1) [aij]T (2)AI (3) IAI In (4) IAI
19. The rank of a non-singular matrix of order n×n is
(1) n (2) n2 (3) 0 (4) 1
20. If the value of ∆x is given , then the value of x is
(1) ∆x/∆ (2) ∆/∆x (3) ∆x = 0 (4) ∆×∆x
21. The value of z, from the given equations:
2x+y+z = 5; x+y+z = 4; x-y+2z = 1 is
(1) 2 (2) 6 (3) 3 (4) 1
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