Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Let T: R → R“ be the linear transformation given by (E)- 2811 — 19г2 — 132г3 47x1 + 73x2 + 198r3 -23.r1 + 17x2 + 114r3 8371 — 51гр — 37073 T (a) Find a basis for the kernel of T and determine whether T is injective. (b) Find a basis for the range of T and determine whether T is surjective. 3.
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Transcribed Image Text:Let T: R → R“ be the linear transformation given by (E)- 2811 — 19г2 — 132г3 47x1 + 73x2 + 198r3 -23.r1 + 17x2 + 114r3 8371 — 51гр — 37073 T (a) Find a basis for the kernel of T and determine whether T is injective. (b) Find a basis for the range of T and determine whether T is surjective. 3.
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