91Ó°ÊÓ

Write an iterative algorithm to do the tasks. Compute the product of two \(n \times n\) matrices \(A\) and \(B\).

The techniques explained in Exercises \(9-12\) are reversible; that is, the octal and hexadecimal representations of integers can be used to find their binary representations. For example, $$ 345_\mathrm{eight}=011100 \quad 101_{\mathrm{two}}=11100101_{\mathrm{two}} $$ Using this technique, rewrite each number in base two. $$ 36_{\text { sixteen }} $$

Verify each. $$\sum_{i=1}^{n} i(i+1)=\mathrm{O}\left(n^{3}\right)$$

Evaluate each sum, where \(d\) is a positive integer. $$\sum_{d | 18}\left(\frac{1}{d}\right)$$

Let \(A=\left\langle a_{i j}\right)_{n \times n}\) and \(B=\left(b_{i j}\right)_{n \times n}\) \(A\) is less than or equal to \(B\) denoted by \(A \leq B,\) if \(a_{i j} \leq b_{i j}\) for every \(i\) and \(j .\) Write an algorithm to determine if \(A \leq B\)

Evaluate each sum, where \(d\) is a positive integer. $$\sum_{d | 18}\left(\frac{18}{d}\right)$$

The techniques explained in Exercises \(9-12\) are reversible; that is, the octal and hexadecimal representations of integers can be used to find their binary representations. For example, $$ 345_\mathrm{eight}=011100 \quad 101_{\mathrm{two}}=11100101_{\mathrm{two}} $$ Using this technique, rewrite each number in base two. $$ 237_{\text { eight }} $$

Write an iterative algorithm to do the tasks. Let \(A=\left(a_{i j}\right)_{n \times n}\) and \(B=\left(b_{i j}\right)_{n \times n} . A\) is less than or equal to \(B\) denoted by \(A \leq B,\) if \(a_{i j} \leq b_{i j}\) for every \(i\) and \(j .\) Write an algorithm to determine if \(A \leq B\).

Consider a list \(X\) of \(n\) numbers \(x_{1}, x_{2}, \ldots, x_{n} .\) Write iterative algorithms to do the tasks. Find the sum of the numbers.

The techniques explained in Exercises \(9-12\) are reversible; that is, the octal and hexadecimal representations of integers can be used to find their binary representations. For example, $$ 345_\mathrm{eight}=011100 \quad 101_{\mathrm{two}}=11100101_{\mathrm{two}} $$ Using this technique, rewrite each number in base two. $$ 237_{\text { sixteen }} $$