Mathematics · Linear Algebra
Let A = [1 1 -1; 2 0 1; 1 1 0] and LA : &mathbb{R}3 → &mathbb{R}3 be the left multiplication transformation defined by LA(x) = Ax. If β = {[1 0 1]T, [1 1 1]T, [1 1 2]T} is a basis of &mathbb{R}3, then the matrix Q representing [LA]β is:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1[1 0 1; 1 1 1; 1 1 2]
- 2[1 1 1; 0 1 1; 1 1 2]
- 3[-1 1 0; -1 -1 1; 1 0 -1]
- 4[1 -1 0; 1 1 -1; -1 0 1]✓
Correct answer
[1 -1 0; 1 1 -1; -1 0 1]
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