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Linear Algebra (1.25-26.PKN25/M)
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If is invertible, then is invertible
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The Gram-Schmidt algorithm converts any set of vectors that spans a subspace into an orthonormal basis of
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If and are orthogonal, then
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The least squares solution to is an exact solution of
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For every matrix and every , there exists a unique least squares solution to
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If is a -factorization of a matrix , then
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If is an matrix with linearly independent columns and is in , then has a unique least squares solution
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If is the identity matrix, then the columns of form an orthonormal set
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Every linearly independent set of vectors in an inner product space is orthogonal
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If is orthogonal to the column space of a matrix , then is in the left nullspace of
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