All vectors and subspaces are in Rr. Note you only have 5 attempts for this question.Check the true statements below:A. If a matrix A is such that AT=A then the perpendicular complement of the kernel of A is the image of A.B. For each y and each subspace W, the vector y - projw(y) is orthogonal to W.C. The columns of a matrix A are perpendicular to the rows of AT.D. If y is in a subspace W, then the orthogonal projection of y onto W is y itself.E. If z is orthogonal to u₁ and u₂ and if W=span( u₁, u2), then z must be in W¹.F. The closest vector to y in a subspace W is given by the vector y - projw(y).| G. If y = %1 + 22, where 21 is in a subspace W and 22 is in W₁, then 21 must be the orthogonal projection of y onto W.H. If W is a subspace and if v is in both W and W+, then v must be the zero vector.I. The orthogonal projection x of y onto a subspace W can sometimes depend on the matrix used to compute x.

We have to answer true or false

Answered: All vectors and subspaces are in Rn.…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Matrix A = The transpose of A would result in |A| being: a. unchanged b. negative c. zero d. squared
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