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Linear Algebra (1.25-26.PKN25/M)
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For all vectors , , and in ,
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If is a consistent linear system, then is also consistent
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If is invertible, then is invertible
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In the -factorization of a matrix , has orthogonal columns
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In , the vectors of norm whose initial points are at the origin have terminal points lying on a sphere of radius centred at the origin.
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If and are orthogonal, then
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If and are vectors in , then is in
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If is a nonzero vector in , there is exactly one unit vector (i.e., vector of length one) that is parallel to
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If each component of a vector in is doubled, the norm of that vector is doubled.
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If a square matrix is such that is the identity matrix, then is orthogonal
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