Question: -1 1 4. Consider the matrix A = -1 0 2 -1 0 2 -1 -1 (a) [1.5p] Find an orthonormal basis for im(A). Find

-1 1 4. Consider the matrix A = -1 0 2 -1 0 2 -1 -1 (a) [1.5p] Find an orthonormal basis for im(A). Find the distance from e3 to im(A). (b) [1.5p] Find an orthonormal basis for ker( A). (c) [1p] Find the matrix of the orthogonal projection onto ker(A). Use this matrix to find projker(A) (e1 - e2 + e3)

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