Mathematics · Linear Algebra
Let T : R2 → R2 be the linear transformation that rotates each point in R2 about the origin through an angle of π4 counterclockwise. Then the standard matrix for T is:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1[ 1/√2 1/√2 ; 1/√2 -1/√2 ]
- 2[ 1/√2 1/√2 ; -1/√2 1/√2 ]
- 3[ 1/√2 -1/√2 ; 1/√2 1/√2 ]✓
- 4[ 1/√2 1/√2 ; 1/√2 1/√2 ]
Correct answer
[ 1/√2 -1/√2 ; 1/√2 1/√2 ]
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