25. Proof Prove that if A and B are similar matrices, then |A| = |B|. Is the converse true? Answer 26. Illustrate the result of Exercise 25 using the matrices 1 0 01 A = 0 P = 0-2 0 0,B: where B=P-¹ AP. 03 -1 1 0] 2 1 2, P-1 = 11 11 7 10] 10 8 10 -18 -12 -17. -1 -1 21 0-1 2 1 2-3

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A: Topic = Matrix

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Q: -() --()-() 3 6 3 3 1 2 1 2 1 1 2 1 3 1 2 3 2 2 A = 3 1 2 В C = 4 4 3 4 4 3

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Q: nts) Check the definiteness of the following matrices A and B; -1 1 1] A = |1 5 L3 0 5 0 B = 3 -1 2…

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Q: Q1/ If 1 4 -3' -3 8Y 2 -3 -6,B = 1 1 and C = 2 11 -2 6. -3 are three matrices find |D"| where D = A?…

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Q: 3. Consider the matrices A = |-1 2 2| and B= -1 1 1 -1 -1 (a) Find AT. (b) Compute A². (c) Calculate…

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Q: Determine if the pairs of matrices A and B are similar. (5 1) (3 2) B = 2 1 a) A= 4 5

A: We will answer the first question as we don't answer multiple question at a time. Please resubmit…