: If A, B, C are mutually independent events then A UB and C are also independent.

Q: Show that if a and b are real numbers and a!=0 then there is unique number r such that ar+b=0

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Q: What is f(1)? 3- 2. 3.

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Q: Suppose A=| use Diagonalization to compute A" 10

A: In the given question we have to find the 10th power of the matrix A s.t A=10-12. Concept: If a…

Q: Cing theN

A: Given limit is,limn→∞6n2-2n+12n2+1

Q: Show that (AB)¹ = BTA¹ if A = 2 0 2 0 and B = -1 1 15) -3 1 -1 -1 2 2). a

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Q: Show that п ()- = 1- 1 and п,

A: It is given that,

Q: If a = (2, 0, 2), b =(4, 2,-2), and c = ax (bx c) = (a x b) x c = = (0, 2, 5), show that a x (bx c)…

A: The answer is in step2.

Q: 1. Solve the equations below. Show your work. a.) x2 – 14x + 45 = 0 b.) 3x2 – 2x - 5 = 0

A: As per our company guidelines we are supposed to answer only one question kindly post other question…