IITM BS Question 50 - Week 6 Practice | Prasnya

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IITM BS Question 50 - Week 6 Practice | Prasnya

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Q50Comprehension2 Marks20 Nov 2022

Passage

Consider

T:\mathbb{R}^3\to\mathbb{R}^2

and

S:\mathbb{R}^2\to\mathbb{R}^3

given by

T(x,y,z)=(x+y,y+z)

and

S(x,y)=(x,y,x+y)

. Let

\beta

and

\beta

be the standard ordered bases of

\gamma

and

\mathbb{R}^2

.

If

K=\{(x,y,z): ax+by=0,\ cy+dz=0\}

is the null space of

S\circ T

, find

\frac{a}{b}-2\frac{c}{d}

.

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Q50

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20 Nov 2022

Mathematics 2 · Week 6

Q50.If

K=\{(x,y,z): ax+by=0,\ cy+dz=0\}

is the null space of

S\circ T

, find

\frac{a}{b}-2\frac{c}{d}

.@passage

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