What's the Product?

15 Points Per Correct Answer - No time limit  

1. The capital sigma is used to denote the summation of a series of numbers. On the other hand, which Greek letter is used to denote the product of a series of numbers? Omega Tau Kappa Pi

2. Which of the following statements is NOT true? The product of an odd number and an even number is an even number. The product of two even numbers is also an even number. The product of an even number and an odd number is an odd number. The product of two odd numbers is also an odd number.

3. The product of the series 1 x 2 x ... x 9 x 10 is equivalent to which of the following? 1^1 + 2^2 + ... + 9^9 + 10^10 1 + 2 + ... + 9 + 10 10! 1(1) + 2 (2) + ... + 9 (9) + 10 (10)

4. The number 1 is the multiplicative identity for the multiplication operation. On the contrary, what is the multiplicative inverse for any number n? 1/(n^2) n 1/n n^2

5. Which multiplication property is illustrated by the equation 2 x 3 = 3 x 2 = 6? Associative Commutative Distributive Identity

6. The repetition of addition of the same number is equals to the multiplication operation. For example, 2 + 2 + 2 + 2 + 2 = 5 x 2. On the other hand, the repetition of multiplication of the same number is equals to the exponentiation operation. For instance, 2 x 2 x 2 x 2 x 2 = 2^5. What is the product of 2^5 and 2^6? 2^5 + 2^6 2^30 2^11 2

7. A complex number is in the form of a + bi, where a and b are both real numbers and i is the square root of -1. What is the product of 2+3i and 2-3i? 4 - 9i 13 4 + 9i 13i

8. To multiply two matrices A and B, we have to make sure that the number of columns of matrix A is equals to the number of rows of matrix B. Let's say matrix A has 2 rows and 3 columns, while matrix B consists of 3 rows and 4 columns. Let A x B = C. What is the size of matrix C? 3 rows and 3 columns 2 rows and 4 columns 3 rows and 4 columns 2 rows and 3 columns

9. In the field of vectors, is the cross product the same as the dot product? Yes No

10. You are given 4 numbers, namely 1, 2, 3 and 4. Now, you task is to form two 2-digit numbers from these 4 numbers so that the product of the two 2-digit numbers formed would be as big as possible. How would you form your two numbers? 31 x 42 14 x 32 23 x 41 41 x 32