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5 (a) Let L: R2 → R be a lincar map, having the following effect on the indicateu vectors: L(1, -4) = (2,0, –1) and L(0,3) = (0, 1, 1). Compute L(1,0).

5 (a) Let L: R2 → R be a lincar map, having the following effect on the indicateu vectors: L(1, -4) = (2,0, –1) and L(0,3) = (0, 1, 1). Compute L(1,0).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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5 (a) indicateu vectors: Let L: R2 → R³ be a lincar map, having the following effect on the L(1, –4) = (2,0, -1) and L(0,3) = (0, 1, 1). Compute L(1,0). (b) Find the image and kernel of this map L, and verify the equality dim R? = dim Ker L+ dim Im L.
Transcribed Image Text:5 (a) indicateu vectors: Let L: R2 → R³ be a lincar map, having the following effect on the L(1, –4) = (2,0, -1) and L(0,3) = (0, 1, 1). Compute L(1,0). (b) Find the image and kernel of this map L, and verify the equality dim R? = dim Ker L+ dim Im L.
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