A Givens rotation is a linear transformation from n& to n&

Chapter , Problem 23E

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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

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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

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