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Let L be the linear transformation from R² R? given by L(x1, x2) = (2x1 - 3x2,4x1 + 4x2). (i) What is the matrix A of L? A = (ii) What is the determinant of L? Determinant = (iii) Is L shape preserving? (No answer given) + (iv) Does L preserve orientation? (No answer given) + (v) Is L injective? (No answer given) (vi) Is La clockwise rotation? (No answer given) + (vii) Is L an anti-clockwise rotation? (No answer given) + (viii) Compute the pre-image of the point (2,-1) under L.

Let L be the linear transformation from R² R? given by L(x1, x2) = (2x1 - 3x2,4x1 + 4x2). (i) What is the matrix A of L? A = (ii) What is the determinant of L? Determinant = (iii) Is L shape preserving? (No answer given) + (iv) Does L preserve orientation? (No answer given) + (v) Is L injective? (No answer given) (vi) Is La clockwise rotation? (No answer given) + (vii) Is L an anti-clockwise rotation? (No answer given) + (viii) Compute the pre-image of the point (2,-1) under L.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let L be the linear transformation from R2 → R² given by L(x1, x2) = (2x1 - 3x2,4x1 + 4x2). (i) What is the matrix A of L? A = (ii) What is the determinant of L? Determinant = (iii) Is L shape preserving? (No answer given) (iv) Does L preserve orientation? (No answer given) (v) Is L injective? (No answer given) (vi) Is La clockwise rotation? (No answer given) (vii) Is L an anti-clockwise rotation? (No answer given) (viii) Compute the pre-image of the point (2, –1) under L.
Transcribed Image Text:Let L be the linear transformation from R2 → R² given by L(x1, x2) = (2x1 - 3x2,4x1 + 4x2). (i) What is the matrix A of L? A = (ii) What is the determinant of L? Determinant = (iii) Is L shape preserving? (No answer given) (iv) Does L preserve orientation? (No answer given) (v) Is L injective? (No answer given) (vi) Is La clockwise rotation? (No answer given) (vii) Is L an anti-clockwise rotation? (No answer given) (viii) Compute the pre-image of the point (2, –1) under L.
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