Home
Class 12
MATHS
A=[(1,0,0),(2,1,0),(3,2,1)], If U1, U2,a...

`A=[(1,0,0),(2,1,0),(3,2,1)],` If `U_1,` `U_2,`and `U_3` are columns matrices satisfying. `AU_1=[(1),(0),(0)]`, `AU_2=[(2),(3),(0)]`, `AU_3=[(2),(3),(1)]`and `U` is `3` x `3` matrix whose columns are `U_1,` `U_2,` `U_3`, then answer the folllowing questions:
The sum of the elements of `U^-1` is-

A

6

B

0(zero)

C

1

D

`2//3`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Let A=[(1,0,0),(2,1,0),(3,2,1)], if U_1, U_2 and U_3 are column matrices satisfying AU_1 =[(1),(0),(0)], AU_2=[(2),(3),(0)] and AU_3=[(2),(3),(1)] and U is a 3xx3 matrix when columns are U_1,U_2,U_3 now answer the following question: The sum of elements of U^-1 is: (A) -1 (B) 0 (C) 1 (D) 3

A=[(1,0,0),(2,1,0),(3,2,1)], if uu_1, uu_2 and uu_3 are columns matrices satisfying. Auu_1=[(1),(0),(0)], Auu_2=[(2),(3),(0)],Auu_3=[(2),(3),(1)] and uu is b3xx3 matrix whose columns are uu_1, uu_2, uu_3 then answer the following questions The value of |uu| is

Let A=[(1,0,0),(2,1,0),(3,2,1)], it U_1, U_2 and U_3 are column matrices satisfying AU_1 =[(1),(0),(0)], AU_2=[(2),(3),(0)] and AU_3=[(2),(3),(1)] and U is a 3xx3 matrix when columns are U_1,U_2,U_3 now answer the following question: The value of |U| is (A) 3 (B) -3 (C) 3/2 (D) 2

Let A=[(1,0,0),(2,1,0),(3,2,1)], it U_1, U_2 and U_3 are column matrices satisfying AU_ =[(1),(0),(0)], AU_2=[(2),(3),(0)] and AU_3=[(2),(3),(1)] and U is a 3xx3 matrix when columns are U_1,U_2,U_3 now answer the following question: The value of determinant [(3,2,0)] I[(3),(2),(0)] is (A) 5 (B) 5/2 (C) 4 (D) 3/2

Let {:A=[(1,0,0),(2,1,0),(3,2,1)]:}and U_1,U_2,U_3 be column matrices satisfying {:AU_1[(1),(0),(0)],AU_2[(2),(3),(6)],AU_3[(2),(3),(1)]:} .If U is 3xx3 matrix whose columns are U_1,U_2,U_3," then "absU=

If A= ((1,0,0),(2,1,0),(3,2,1)), U_(1), U_(2), and U_(3) are column matrices satisfying AU_(1) =((1),(0),(0)), AU_(2) = ((2),(3),(0))and AU_(3) = ((2),(3),(1)) and U is 3xx3 matrix when columns are U_(1), U_(2), U_(3) then answer the following questions The value of (3 2 0) U((3),(2),(0)) is

Let A = [(1,0,0), (2,1,0), (3,2,1)], and U_1, U_2 and U_3 are columns of a 3 xx 3 matrix U . If column matrices U_1, U_2 and U_3 satisfy AU_1 = [(1),(0),(0)], AU_2 = [(2),(3),(0)], AU_3 = [(2),(3),(1)] then the sum of the elements of the matrix U^(-1) is

Let A=[[1,0,0],[2,1,0],[3,2,1]] and U_(1),U_(2),U_(3) be column matrices satisfying , AU_(1)=[[1],[0],[0]],AU_(2)=[[2],[3],[6]] .AU_(3)=[[2],[3],[1]] , is 3times3 matrix whose columns are , U_(1),U_(2),U_(3) , then |U|=,(A) 3, (B) -3, (C) 3/2 , (D) 2