IITM BS Question 6 - Week 8 Practice | Prasnya

Prasnya

Continue with Google

Loading question

IITM BS Question 6 - Week 8 Practice | Prasnya

Loading question

00:00

Q6Numerical5 Marks3 Aug 2025

Consider

\mathbb{R}^2

with the usual inner product. Let

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

be an orthogonal transformation given by

T(x,y)=(ax+by,\ cx+dy)

for all

x,y\in\mathbb{R}

, and let

A

be the matrix representation of

A

with respect to the standard ordered basis. If

T

and

\det(A)<0

, find

b+c+d

.

Your answer

Press Enter to check.

Q6

00:00

3 Aug 2025

Mathematics 2 · Week 8

Q6.Consider

\mathbb{R}^2

with the usual inner product. Let

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

be an orthogonal transformation given by

T(x,y)=(ax+by,\ cx+dy)

for all

x,y\in\mathbb{R}

, and let

A

be the matrix representation of

A

with respect to the standard ordered basis. If

T

and

\det(A)<0

, find

b+c+d

.

Your Answer

Save

Check

Details