Mathematics, 10.12.2021 19:30 marxusalexander6552
Cho ánh xạ f : R3 −→ R3, xác định bởi:
f(x1, x2, x3) = (x1 − x2, x1 + x2 + 2x3, x1 + 2x2 + 3x3)
a) Chứng minh f là ánh xạ tuyến tính
b) Tìm ma trận của ánh xạ tuyến tính f đối với cơ sở
B = {u1 = (1, 2, 0), u2 = (1, 1, 0), u3 = (0, 0, 1)}
c) (∗) Tìm tập hợp các véc tơ v = (x1, x2, x3) sao cho f(v) = (3, 5, 6)
Answers: 1
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Cho ánh xạ f : R3 −→ R3, xác định bởi:
f(x1, x2, x3) = (x1 − x2, x1 + x2 + 2x3, x1 + 2x2 + 3x3)
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