IITM BS Question 16 - Week 3 Practice

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IITM BS Question 16 - Week 3 Practice | Prasnya

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Q16Comprehension1 Mark25 Feb 2024

Passage

Based on the above data, answer the given subquestions. Consider the following subsets of

M_{3\times3}(\mathbb{R})

W_1=\left\{\begin{bmatrix}a&0&0\\0&b&0\\0&0&c\end{bmatrix}:a,b,c\in\mathbb{R}\text{ such that }a+b+c=1\right\}

. If

W_1

is a subspace, find the dimension; else write the answer as

0

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Q16

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25 Feb 2024

Mathematics 2 · Week 3

Q16.

W_1=\left\{\begin{bmatrix}a&0&0\\0&b&0\\0&0&c\end{bmatrix}:a,b,c\in\mathbb{R}\text{ such that }a+b+c=1\right\}

. If

W_1

is a subspace, find the dimension; else write the answer as

0

.@passage

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