Letv⃗ 1=⎡⎣⎢012⎤⎦⎥,v⃗ 2=⎡⎣⎢1−20⎤⎦⎥,v⃗ 3=⎡⎣⎢30−1⎤⎦⎥be eigenvectors of the matrix A which correspond to the eigenvalues λ1=−3, λ2=2

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3 years ago

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Letv⃗ 1=⎡⎣⎢012⎤⎦⎥,v⃗ 2=⎡⎣⎢1−20⎤⎦⎥,v⃗ 3=⎡⎣⎢30−1⎤⎦⎥be eigenvectors of the matrix A which correspond to the eigenvalues λ1=−3, λ2=2

, and λ3=3, respectively, and letx⃗ =⎡⎣⎢−433⎤⎦⎥.Express x⃗ as a linear combination of v⃗ 1, v⃗ 2, and v⃗ 3, and find Ax⃗ .x⃗ = -3 v⃗ 1+ 2 v⃗ 2+ 3 v⃗ 3.Ax⃗ = ⎡⎣⎢⎢⎢⎢⎢⎢ ⎤⎦⎥⎥⎥⎥⎥⎥

Mathematics

1 answer:

dem82 [27] · Answer 1 · 2022-03-23T11:20:01+03:00

dem82 [27]3 years ago

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