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A Givens rotation is a linear transformation from n& to n&
Chapter , Problem 23E(choose chapter or problem)
QUESTION:
Problem 23E
A Givens rotation is a linear transformation from ℝn& to ℝn& used in computer programs to create a zero entry in a vector (usually a column of a matrix). The standard matrix of a Givens rotation in ℝ2 has the form
Find a and b such that is rotated into
Questions & Answers
QUESTION:
Problem 23E
A Givens rotation is a linear transformation from ℝn& to ℝn& used in computer programs to create a zero entry in a vector (usually a column of a matrix). The standard matrix of a Givens rotation in ℝ2 has the form
Find a and b such that is rotated into
ANSWER:
Solution:
Step 1 of 1
Standard matrix of Givens rotation is : where .
Transforming the matrix with Givens rotation to obtain