The value of |U| is (A) 3 (B) -3 (C) 3/2

Question

Let A = [(1, 0, 0), (2, 1, 0), (3, 2, 1)]. If U₁, U₂ and U₃ are columns matrices satisfying

AU₁ = [1, 0, 0], AU₂ = [2, 3, 0], AU₃ = [2, 3, 1] and U is 3 × 3 matrix whose columns are U₁, U₂ and U₃ then

The value of |U| is

(A) 3

(B) -3

(C) 3/2

(D) 2

Answer 1

Answer is (A) 3