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in Mathematics by (71.1k points)

Let A = [(1, 0, 0), (1, 0, 1), (0, 1, 0)] satisfies An = An–2 + A2 – I for n ≥ 3 And trace of a square matrix X is equal to the sum of elements in its principal diagonal.

Further consider a matrix U3×3 with its column as U1, U2, U3 such that A50 U1 = [(1, 25, 25)] , A50 U2 = [(0, 1, 0], A50 U3 = [0, 0, 1]

Then answer the following questions. 

1. The value of |A50| equals 

(A) 0 

(B) 1 

(C) –1 

(D) 25

2. Trace of A50 equals

(A) 0 

(B) 1 

(C) 2 

(D) 3 

3. The value of |U| equals 

(A) 0 

(B) 1 

(C) 2 

(D) –1

1 Answer

+1 vote
by (63.7k points)
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Best answer

Correct option: 1 - (B) 1, 2.- (D) 3, 3 - (B) 1

Explanation: 

1 to 3

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