I Towards Passion and Excellence in Mathematics
2
Study the pattern carefully. The first 3 patterns are as shown below.
The following patterns are made up of identical
black and white stars.
Pattern 3
Pattern 2
Pattern 1
How many black stars are there in Pattern 7?
​

Raj encoded a secret phrase using matrix multiplication. using a = 1, b = 2, c = 3, and so on, he multiplied the clear text code for each letter by the matrix to get a matrix that represents the encoded text. the matrix representing the encoded text is . what is the secret phrase? determine the location of spaces after you decode the text. yummy is the corn the tomato is red the corn is yummy red is the tomato