Decoding a Message: In Exercises 53-56, use
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- In Exercises 49-52, write a cryptogram for the message using the matrix A=122379147. HAPPY BIRTHDAYarrow_forwardIn Exercises 49-52, write a cryptogram for the message using the matrix A=122379147. OPERATION OVERLOADarrow_forwardFind, if possible, AB and BA. (If not possible, enter IMPOSSIBLE in any single cell.) -1 2 40 A = 1 -2 (a) AB 0000 (b) ↓ BA 0000 -[1322] B =arrow_forward
- Find (1 + i)10.arrow_forwardlinear algebraarrow_forwardScreen Full Page 12. Find the pattern when the squares of the Fibonacci numbers are added: a. Complete the table for the first six rows: The squares of Fibonacci Numbers Pattern Sum (F1)2 (F1)2 + (F2)2 = 12 = 12 + 12 = 1 = 2 = 1 x1 = F1 x F2 = 1 x 2 = F2 x F3 = 1+1 (F1)² + (F2)² + (F3)² = 12 + 12 + 22 = 1+1+4 = 6 = 2 x 2 = _x _ %D = %3D %3D Complete the blanks and the next three rows. Hint: look for two special numbers that multiply to get the sum. b. Explain the pattern of the answers in words. Hint: relate the two multiplied numbers to the numbers you just added. TIP: Look for a pattern that goes across (F1)2 + (F2)? Look for how these NOT how each old answer is related to the new answer. = 12 + 12 = 1+1 = 2 = 1 x 2 = F2 × F3 are related to these. c. Use the pattern to predict the sum when 1² + 1² + 2² + 32 + 5² + ... + 233² is added. Your answer should show that you know how to get the answer using the pattern, without having to actually add up all the numbers! Hint: which subscript…arrow_forward
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