Let = A [2.5] and y = 5 0.5 Use the Gram-Schmidt process to determine an orthonormal basis for the subspace of R3 spanned by x and y.
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- Find a basis for the vector space of all 33 diagonal matrices. What is the dimension of this vector space?Let B={(0,2,2),(1,0,2)} be a basis for a subspace of R3, and consider x=(1,4,2), a vector in the subspace. a Write x as a linear combination of the vectors in B.That is, find the coordinates of x relative to B. b Apply the Gram-Schmidt orthonormalization process to transform B into an orthonormal set B. c Write x as a linear combination of the vectors in B.That is, find the coordinates of x relative to B.Let * = | 3 and y = 1 Use the Gram-Schmidt process to determine an orthonormal basis for the subspace of R° spanned by a and y.
- let b={(0,2,-2)(1,0,-2)} be a basis for a subspace of R^3 and let x=(-1,4,-2) be a vector in the subspace. find the coordinate matrix of x relative to B. use the GRAM-SCHMIT orthonormalization process to transform B into an orthonormal set B'. find the coordinate matrix of x relative to B'.Let 3 and y Use the Gram-Schmidt process to determine an orthonormal basis for the subspace of R spanned by a and j.Let -2.5 * = -4 and j = 7 -6 Use the Gram-Schmidt process to determine an orthonormal basis for the subspace of R spanned by i and j.
- Let = -6 -4 and y= 2 Use the Gram-Schmidt process to determine an orthonormal basis for the subspace of R³ spanned by x and y.Let and y = Use the Gram-Schmidt process to determine an orthonormal basis for the subspace of R' spanned by i and y.Use the Gram-Schmidt process to find an orthonormal basis for the subspace of R3 spanned by v1 = (1, 1, 0) and v2 = (2, 1, 1)