Let 7, j, k be the versors of the coordinate axis of R3. Let ✓ = -j+ k Let us denote by X the vector product. Let f: R³ R³ be the endomorphism defined as f(u) = (vx ū) + 2ū, for each ū € R³. Which one of the following statements is true? © (a)t(t² + t-3) is the characteristic polynomial of f. (b) f is injective but not surjective. (c) f is surjective but not injective. (d) f is injective.
Let 7, j, k be the versors of the coordinate axis of R3. Let ✓ = -j+ k Let us denote by X the vector product. Let f: R³ R³ be the endomorphism defined as f(u) = (vx ū) + 2ū, for each ū € R³. Which one of the following statements is true? © (a)t(t² + t-3) is the characteristic polynomial of f. (b) f is injective but not surjective. (c) f is surjective but not injective. (d) f is injective.
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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