For a matrix A = (\table 1,0,0;2,1,0;3,2,1), if U_1 , U_2 and U_3 are 3 × 1 column matrices satisfying AU_1 = (\table 1;0;0), AU_2 = (\table 2;3;0), AU_3 = (\table 2;3;1) and U is 3 × 3 matrix whose columns are U_1 , U_2 and U_3 Then sum of the elements of U^{–1} is

WBJEE 2015 Math Solved Paper

Question : 63 of 80

Marks: +1, -0

For a matrix
A = (

), if U1 , U2 and U3 are 3 × 1 column matrices satisfying
AU1 = (

), AU2 = (

), AU3 = (

) and U is 3 × 3 matrix whose columns are U1 , U2 and U3
Then sum of the elements of U–1 is

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