Question 2 - Week 7 Practice | Prasnya

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Question 2 - Week 7 Practice | Prasnya

Q2

00:00

6 Apr 2026

Q2.Let

\langle\cdot,\cdot\rangle

denote the standard inner product on

\mathbb{R}^2

, i.e.,

\langle(x_1,x_2),(y_1,y_2)\rangle=x_1y_1+x_2y_2

. For

v\in\mathbb{R}^2

, consider a linear transformation

T_v:\mathbb{R}^2\to\mathbb{R}

defined as

T_v(u)=\langle u,v\rangle

. Which options are true for

T_v

?

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Q2

00:00

6 Apr 2026

Q2.Let

\langle\cdot,\cdot\rangle

denote the standard inner product on

\mathbb{R}^2

, i.e.,

T_v

. For

v\in\mathbb{R}^2

, consider a linear transformation

T_v:\mathbb{R}^2\to\mathbb{R}

defined as

T_v(u)=\langle u,v\rangle

. Which options are true for

T_v

?

Save

Check

Details