Question

Let $y = \begin{bmatrix} 2 \\ 3 \end{bmatrix}$ and $u = \begin{bmatrix} 9 \\ 3 \end{bmatrix}$. Write y as the sum of a vector in Span {u} and a vector orthogonal to u. $y = \hat{y} + z = \boxed{} + \boxed{}$ (Type an integer or simplified fraction for each matrix element. List the terms in the same order as they appear in the original list.)

Name: let y beginbmatrix 2 3 endbmatrix and u beginbmatrix 9 3 endbmatrix write y as the sum of a vector in span u and a vector orthogonal to u y haty z boxed boxed type an integer or simplified f 31373
Uploaded: 2022-12-10T10:34:41-08:00
Duration: 4 min 2 s
Channel: Sri K
Description: let y beginbmatrix 2 3 endbmatrix and u beginbmatrix 9 3 endbmatrix write y as the sum of a vector in span u and a vector orthogonal to u y haty z boxed boxed type an integer or simplified f 31373

          Let $y = \begin{bmatrix} 2 \\ 3 \end{bmatrix}$ and $u = \begin{bmatrix} 9 \\ 3 \end{bmatrix}$. Write y as the sum of a vector in Span {u} and a vector orthogonal to u.
$y = \hat{y} + z = \boxed{} + \boxed{}$
(Type an integer or simplified fraction for each matrix element. List the terms in the same order as they appear in the original list.)

let y beginbmatrix 2 3 endbmatrix and u beginbmatrix 9 3 endbmatrix write y as the sum of a vector in span u and a vector orthogonal to u y haty z boxed boxed type an integer or simplified f 31373

Added by Martin B.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Sri K

12/10/2022

Step 1

Step 1: To find the projection of y onto u, we use the formula: $\hat{y} = proj_u y = \frac{y \cdot u}{||u||^2} u$ Show more…

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Let $y = \begin{bmatrix} 2 \\ 3 \end{bmatrix}$ and $u = \begin{bmatrix} 9 \\ 3 \end{bmatrix}$. Write y as the sum of a vector in Span {u} and a vector orthogonal to u. $y = \hat{y} + z = \boxed{} + \boxed{}$ (Type an integer or simplified fraction for each matrix element. List the terms in the same order as they appear in the original list.)