QR Factorization · Linear Algebra · Varsity Tutors

Linear Algebra Quiz

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INNER PRODUCT SPACES & ORTHOGONALITY

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A

3 \times 2

matrix

A

has QR factorization

A = QR

where

Q

is

3 \times 2

and

R

is

2 \times 2

. If

||A\mathbf{x}||^2 = 17

for some vector

\mathbf{x} \in \mathbb{R}^2

, what is the value of

||R\mathbf{x}||^2

?

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