Application of matrices and determinants - Set 2
8. A-1 exists when A is …… matrix
(1) Singular (2) Non-singular (3) Triangular (4) zero
9. Equivalent matrices are obtained by
(1)Taking inverses (2) Taking transposes
(3)Taking adjoints (4)Taking finite number of elementarytransformations
10. Every homogeneous system
(1) is always consistent (2) has only unique solution
(3) has many solution (4) need not be consistent
11. If ρ(A)=ρ[A B] then the system is
(1) consistent and has many solution (2) consistent
(3)consistent and has unique solution (4)inconsistent
12. Let 2x-3y+7z = 5, 3x+y-3z = 13 , 2x+19y-47z = 32 are the system of equations. Then
ρ[A B]=
(1) 3 (2) 1 (3) 2 (4) 0
13. The solution of the liner equation ax = b,(a≠0) is
(1) b/a (2) a/b (3) –(a/b) (4) –(b/a)
14. According to reversal law for inverses
(1) (BA)-1 = B-1A-1 (2) (AB)-1 = B-1A-1
(3) (BA)-1 = A-1B-1 (4) (AB)-1 = A-1B-1
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