All vectors and subspaces arc in R^m. Cheek the true statements below: If the ve

Question

All vectors and subspaces arc in R^m. Cheek the true statements below: If the vector v is not in the subspace W of R^m, then v - projw (v) is not 0, where denotes the projection of v onto the subspace W and 0 denotes the zero vector in R^m. If W = span {w_1, w_2, w_3} where {w_1, w_2, w_3} is a linearly independent set, and if {u_1, u_2} is an orthogonal set in W, then {u_1, u_2} is an orthogonal basis for W. Assume A is an m X n matrix with n linearly independent columns. In a QR factorization A = QR of A the columns of Q form an orthonormal basis for the column space of A.

Explanation / Answer

Here statement A and C are true statements and B is false statement.

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