if U 1 , U 2 and U 3 are columns matrices satisfying and U is 3 × 3 matrix when columns…
Mathematics · JEE Advanced · NTA Exams — Matrices 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
- 5
- 5/2
- 4
- 3/2 .
Answer
(A) 5
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If n is not a multiple of 3 and 1, ω, ω 2 are the cube roots of unity, then ∆ = | array ccc 1 & ^ n & ^ 2 n ^…
- If F (x) = [ array ccc x & - x & 0 x & x & 0 0 & 0 & 1 array ] and G (y) = [ array ccc y & 0 & y 0 & 1 & 0 …
- If f(x), g (x) and h (x) are three polynomials of degree 2, then φ (x) = | array ccc f(x) & g(x) & h(x) f^…
- Let ∆ = 0 and ∆ c denotes the determinant of cofactors, then ∆ c = ∆ n – 1 , where n (> 0) is the order of ∆…
- If A = diag (d 1 , d 2 , d 3 , ........ d n ), then A n is equal to
- If | array ccc p & q-y & r-z p-x & q & r-z p-x & q-y & r array | = 0, then the value of p x + q y + r z is
- Let S be the set of all column matrices [ array l b_ 1 b_ 2 b_ 3 array ] such that b 1 , b 2 , b 3 ∈ R and…
- Let where α ∈ R . Suppose Q = [ q ij ] is a matrix such that PQ = kI , where k ∈ R , k ≠ 0 and I is the…
More Matrices and Determinants questions · Browse all practice questions