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Orthonormal bases
Task number: 2710
In R4 with the standard scalar product ⟨x|y⟩=4∑i=1xiyi determine by the Gram-Schmidt method an orthonormal basis Z={z1,…,zr} of the row space of the following matrix.
Variant 1
(111141411234)
Variant 2
(034000502102)
Variant 3
(201243246−536−4242)
Variant 4
(2421−1−2−2−112421234)