# Download PDF by Mal'tsev N., Kuz'min E. N.: A basis for the identities of the algebra of second-order

By Mal'tsev N., Kuz'min E. N.

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**Extra resources for A basis for the identities of the algebra of second-order matrices over a finite field**

**Example text**

What’s the greatest power of 10 that’s a factor of 9,200,000? 197. The number 6,915 is divisible by which numbers from 2 to 6, inclusive? ) 198. ) Using that information, what is the remainder when you divide ? 193. What’s the greatest power of 10 that’s a factor of 30,940,050? 199. You know that the number 612 is divisible 194. The number 78 is divisible by which num- by 9 (because 6 + 1 + 2 = 9). Using that information, what is the remainder when you divide ? bers from 2 to 6, inclusive? ) 200.

Mina took a long walk on the beach each day of her eight-day vacation. On half of the days, she walked 3 miles and on the other half she walked 5 miles. How many miles did she walk altogether? 161. Simon noticed a pair of square numbers that add up to 130. He then noticed that when you subtract one of these square numbers from the other, the result is 32. What is the smaller of these two square numbers? 31 32 Part I: The Questions 162. If Donna took 20 minutes to read 60 pages of 166. Yianni just purchased a house priced at a 288-page graphic novel, how long did she take to read the whole novel, assuming that she read it all at the same rate?

The number 380 is divisible by which numbers from 2 to 6, inclusive? ) by 6 (because it’s an even number whose digits add up to 9, which is divisible by 3). Using that information, what is the remainder when you divide ? 41 42 Part I: The Questions Working with Prime and Composite Numbers 203. Is 151 a prime number? 201–210 201. Which of the following are prime numbers 204. Is 161 a prime number? and which are composite numbers? 205. Is 223 a prime number? 39 206. Is 267 a prime number? 41 207.

### A basis for the identities of the algebra of second-order matrices over a finite field by Mal'tsev N., Kuz'min E. N.

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