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Consider the following statements : 1....

Consider the following statements :
1. If det A = 0, then det (adJ A) = 0
2. If A is non-singular, then det `(A^(-1)) = (det A)^(-1)`

A

A. 1 only

B

B. 2 only

C

C. Both 1 and 2

D

D. Neither 1 nor 2

Text Solution

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The correct Answer is:
C
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PUNEET DOGRA-DETERMINANTS -PREV YEAR QUESTIONS
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  3. What are the values of x that satisfy equation |(x,0,2),(2x,2,1),(1,1,...

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  4. The factor of the determinant |(x+a,b,c),(a,x+b,c),(a,b,x+c)| is

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  5. If |(x,-3i,1),(y,1,i),(0,2i,-i)|=6+11i. then what are the value of x a...

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  6. A is a square matrix of order 3 such that its determinant is 4. What i...

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  7. If A is a square matrix of order n gt 1, then which one of the followi...

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  8. Let A and B be (3 xx 3) matrices with det A = 4 and det B = 3 What i...

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  9. Let A and B be (3 xx 3) matrices with det A = 4 and det B = 3 What i...

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  10. If in a triangle ABC, |{:(1, sin A ,sin^(2)A),(1,sin B , sin^(2)B),(1,...

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  11. Find the values of x,y,z if the matrix A=[(0,3y,z),(x,y,-z),(x,-y,z)] ...

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  12. If u, v and w (all positive) are the pth, qth, and rth terms of a GP, ...

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  13. If a + b + c = 0, then one of the solution of |(a-x,c,b),(c,b-x,a),(b,...

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  14. Which one of the following factors does the expansions of the determin...

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  15. The system of equation 2x + y - 3z = 5 3x - 2y + 2z = 5 5x - 3y ...

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  16. The value of the determinants |("cos"^(2)(theta)/(2),"sin"^(2)(theta)/...

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  17. The system of equation kx + y + z = 1, x + ky + z = k and x + y + kz =...

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  18. If p + q + r = a + b + c = 0, then the determinant |(pa,qb,rc),(qc,ra,...

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  19. The value of the determinant : |(1-alpha,alpha-alpha^(2),alpha^(2)),(1...

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  20. If B is a non-singular matrix and A is a square matrix, then the value...

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  21. What is the value of the determinant ? |(1,1,1),(1,1+xyz,1),(1,1,1+x...

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