Which of the following statements is/are correct?Please select one or more:The approximate solution of x1+x2+x3x1x2+αx3=1=1=5 linear equations cannot be found for α=1 by the least squares method.Every set of linear independent vectors in Rn is also an orthogonal set.In Rn, the vector u−projvu is perpendicular to the vector v. If u and v are orthonormal vectors in Rn, ||u+v|| depends on the dimension n.An orthogonal basis for the column space of A is obtained when Gram Schmidt is applied to the column vectors of the linearly independent matrix A with m×n type columns. Aşağıdaki ifadelerden hangisi veya hangileri doğrudur?Lütfen bir ya da daha fazlasını seçin:xị + x2 + x3 = 1xj = 1 lineer denklem sisteminin yaklaşık çözümü a = 1 için en küçük kareler yöntemi ile bulunamaz.x2 + ax3 = 5O R" deki lineer bağımsız vektörlerden oluşan her küme aynı zamanda ortogonal kümedir.O R"'de, u – proj,u vektörü v vektörüne diktir.O u ve v, R"'de ortonormal vektörler ise, ||u + v||, n boyutuna bağlıdır.O m x n tipindeki sütunları lineer bağımsız A matrisinin sütun vektörlerine Gram Schmidt uygulandığında A'nın sütun uzayı için ortogonal birtaban elde edilir.

Which of the following statements is/are correct? Please select one or more: The approximate solution of x1+x2+x3x1x2+αx3=1=1=5 linear equations cannot be found for α=1 by the least squares method. Every set of linear independent vectors in Rn is also an orthogonal set. In Rn, the vector u−projvu is perpendicular to the vector v . If u and v are orthonormal vectors in Rn, ||u+v|| depends on the dimension n. An orthogonal basis for the column space of A is obtained when Gram Schmidt is applied to the column vectors of the linearly independent matrix A with m×n type columns.

Which of the following statements is/are correct? Please select one or more: The approximate solution of x1+x2+x3x1x2+αx3=1=1=5 linear equations cannot be found for α=1 by the least squares method. Every set of linear independent vectors in Rn is also an orthogonal set. In Rn, the vector u−projvu is perpendicular to the vector v . If u and v are orthonormal vectors in Rn, ||u+v|| depends on the dimension n. An orthogonal basis for the column space of A is obtained when Gram Schmidt is applied to the column vectors of the linearly independent matrix A with m×n type columns.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 27EQ

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