If A=[(2x,2y,2z),(2a,2b,2c),(2p,2q,2r)]a...

If A=`[(2x,2y,2z),(2a,2b,2c),(2p,2q,2r)]`and `Delta =[(x,y,z),(a,b,c),(p,q,r)]`then det A is

A

`Delta`^(2)`

B

2`Delta`

C

4`Delta`

D

`8Delta`

Text Solution

Verified by Experts

The correct Answer is:

D

Topper's Solved these Questions

MATRICES AND DETERMINANTS
PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (ANSWER THE FOLLOWING QUESTIONS)|18 Videos
INTRODUCTION TO PROBABILITY THEORY
PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Choose the correct option for the following)|39 Videos
SETS,RELATIONS AND FUNCATIONS
PREMIERS PUBLISHERS|Exercise II. Choose the correct option for the following. (M.C.Q)|35 Videos

Similar Questions

Explore conceptually related problems

If A=[(a,b,c),(x,y,x),(p,q,r)], B=[(q,-b,y),(-p,a,-x),(r,-c,z)] and If A is invertible, then which of the following is not true ?

Show that |(x+2a,y+2b,z+2c),(x,y,z),(a,b,c)|=0.

Prove that |(x+2a,y+2b,z+2c),(x,y,z),(a,b,c)|=0

Find x,y,p,q if [(2x-y,5,5p+2q),(p+2q,x-2y,-10)]=[(0,5,7),(3,-3,-10)]

Show that {:|(x+2a,y+2b,z+2c),(x,y,z),(a,b,c)|:} =0

Using the property of determinants and without expanding {:[( b+c,q+r,y+z),( c+a,r+p,z+x),( a+b,p+q,x+y) ]:}=2 {:[(a,p,x),( b,q,y),(c,r,z)]:}

If x ,y ,z are different from zero and "Delta"=|[a, b-y ,c-z],[ a-x, b ,c-z],[ a-x, b-y, c]|=0, then the value of the expression a/x+b/y+c/z is 0 b. -1 c. 1 d. 2

If a ,b ,c ,d ,e , and f are in G.P. then the value of |((a^2),(d^2),x),((b^2),(e^2),y),((c^2),(f^2),z)| depends on (A) x and y (B) x and z (C) y and z (D) independent of x ,y ,and z

Prove that |{:(x^(2),,x^(2)-(y-z)^(2),,yz),(y^(2),,y^(2)-(z-x)^(2),,zx),(z^(2),,z^(2)-(x-y)^(2),,xy):}| =(x-y) (y-z) (z-x)(x+y+z) (x^(2)+y^(2)+z^(2))

If the ratio of the roots of a x ^2+2b x+c=0 is same as the ratios of roots of p x^2+2q x+r=0, then a. (2b)/(a c)=(q^2)/(p r) b. b/(a c)=(q^)/(p r) c. (b^2)/(a c)=(q^2)/(p r) d. none of these

PREMIERS PUBLISHERS-MATRICES AND DETERMINANTS-PROBLEMS FOR PRACTICE .(II CHOOSE THE CORRECT OPTION FROM THE FOLLOWING)

If the square matrix |(alpha,Beta),(Beta,-alpha)|is a unit matrix of o...
Text Solution
|
A=[(0,-2,1),(2,0,-4),(-1,0,0)]then A is
Text Solution
|
If A=[(2x,2y,2z),(2a,2b,2c),(2p,2q,2r)]and Delta =[(x,y,z),(a,b,c),(p,...
Text Solution
|
If A+2I=[(6,2),(3,-4)],then A(A+I)=
Text Solution
|
Find the matrix A if[(1,2),(0,1)]A=[(6,1),(2,1)]
Text Solution
|
Find the value of x for which A=[(e^(2x+1),e^(x-2)),(e^(2-x),e^(x-7))]...
Text Solution
|
If A is (a(ij))(mxxn),B=(b(ij)(nxxp)),C=(c(ij)(pxxq))Then (ABC)^(T) wi...
Text Solution
|
Ifr A is a skew symmetrix matrix of order 3 and B is column matrix of ...
Text Solution
|
If A=[(2,4,-5),(3,1,-2),(0,2,-3)],find the coefficient of order 3:
Text Solution
|
If A and B are square matrix of same order then (A-B)^(T) is:
Text Solution
|
|((x+1/x)^(2),(x-1/x)^(2),1),((y+1/y)^(2),(y-1/y)^(2),1),((z+1/z)^(2),...
Text Solution
|
Evaluate |(45,71,26),(35,-21,14),(77,50,40)|:
Text Solution
|
if|(b+c,a-c,a-b),(b-c,c+a,b-a),(c-b,c-a,a+b)|=k(abc).Then k is:
Text Solution
|
The area ofDelta with vertices (-2,-3),(3,2),and (-1,x).Then x is:
Text Solution
|
Which of the followinf is not true about the matrix[(5,0,0),(0,0,0),(0...
Text Solution
|
The matrix is [(4,3,1),(0,2,3),(0,0,-2)]is:
Text Solution
|
If |(3x+4y,-3),(2,x+2y)|=|(7,-3),(2,3)|then x and y are
Text Solution
|
The value of determinent |(25,20,45),(-10,10,0),(2,3,5)|is
Text Solution
|
If A=(a(ij))(2xx3),B=(b(ij))(2xx3)then the order of AB will be
Text Solution
|
If A=(a(ij))(2xx2).Where a(ij) is given by (i-2j)^(2)then A is:
Text Solution
|