Mathematics · Linear Transformations
Let linear transformation L : M2×2 → M2×2 be defined by L(X) = AXB where A = ⌈ 1 2 ⌉ ⌊ -1 3 ⌋ and B = ⌈ 2 1 ⌉ ⌊ 0 4 ⌋ Which of the following is true?
- 1det(L) = 62 × 53
- 2det(L) = 26 × 52
- 3trace(L) = 20
- 4trace(L) = 24✓
Correct answer
trace(L) = 24
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