IITM BS Question 45 - Week 6 Practice | Prasnya

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IITM BS Question 45 - Week 6 Practice | Prasnya

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Q45Numerical3 Marks2 Apr 2023

Let

V=\left\{\begin{bmatrix}a&b\\c&d\end{bmatrix}\in M_{2\times2}(\mathbb{R}):a+b=c+d\right\}

and

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

be onto. What is the dimension of

\ker(T)

?

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Q45

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2 Apr 2023

Mathematics 2 · Week 6

Q45.Let

V=\left\{\begin{bmatrix}a&b\\c&d\end{bmatrix}\in M_{2\times2}(\mathbb{R}):a+b=c+d\right\}

and

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

be onto. What is the dimension of

\ker(T)

?

Your Answer

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