Exercise 3.4

Question

Let $A$ be an $m 	imes n$ matrix and let $B$ be a submatrix of $A$, that is, a $\mu 	imes 
u$ matrix $(\mu \leq m, 
u \leq n)$ obtained by selecting certain rows and columns of $A$.
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(a) Explain how B can be obtained by multiplying A by certain row and column "deletion matrices" as in step 7 of \href{./exercise_1-1}{Exercise 1.1}.
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(b) Using this product, show that $\|B\|_p \leq \|A\|_p$ for any $p$ with $1 \leq p \leq \infty$.

Desh Raj · Accepted Answer

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Exercise 3.4

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Exercise 3.4

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