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Mathematics, 03.04.2020 22:33 rennytheraccoon

Let v⃗ 1=⎡⎣⎢0−33⎤⎦⎥,v⃗ 2=⎡⎣⎢220⎤⎦⎥,v⃗ 3=⎡⎣⎢20−2⎤⎦⎥ be eigenvectors of the matrix A which correspond to the eigenvalues λ1=−3, λ2=0, and λ3=1, respectively, and let x⃗ =⎡⎣⎢−6−57⎤⎦⎥. Express x⃗ as a linear combination of v⃗ 1, v⃗ 2, and v⃗ 3, and find Ax⃗ .

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Let v⃗ 1=⎡⎣⎢0−33⎤⎦⎥,v⃗ 2=⎡⎣⎢220⎤⎦⎥,v⃗ 3=⎡⎣⎢20−2⎤⎦⎥ be eigenvectors of the matrix A which correspond...
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