if U 1 , U 2 and U 3 are columns matrices satisfying and U is 3 × 3 matrix when columns…

Mathematics · JEE Advanced · NTA ExamsMatrices and Determinants

if U1, U2 and U3 are columns matrices
satisfying
and U is 3 × 3 matrix when columns are U1, U2, U3 then answer the following questions.

The value of \[\left[\begin{array}{lll} 3 & 2 & 0 \end{array}\right] U\left[\begin{array}{l} 3 \\ 2 \\ 0 \end{array}\right]\] is
  1. 5
  2. 5/2
  3. 4
  4. 3/2 .

Answer

(A) 5

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