1 2 2 If A 2 2 1 A? – 4A- 51 = Q, =|2 1 2, then prove that

Q: If a and x are real numbers with 0 < x <a, then an-x" ≤nan-¹(a-x) for any positive integer n.

A:

Q: a – b -| < 1, if|a| < 1, and |b| < 1. 1- āb - Show that|-

A: From the given information. For , then show that .

Q: 0 -1 0] If R =|1 2-1, then R-1= 1 1 0

A: Matrix is a mathematical object containing numbers arranged in rows and columns. The order of a…

Q: If a and b are integers, then a/b is always a rational number. True False

A:

Q: Let 7 be a real number. Which of the following is equal to T T -2 (ED)*+E)* r2 3 0 None of the these…

A:

Q: 2 - If A and X then - 11 5 7 А.Х —

A: From the given problem:   A=-20-115 ; X=-17   Now,   A.X=-20-115.-17

Q: Show that if x > 0 and |x² – 9| < 2, then |x - 3| < 1.

A:

Q: Which of the following is not a real number? (1) (6 + 2i)(6 – 2i) (2) (–2i)12 (3) (3 + 4i)(-4i) (4)…

A:

Q: Step by step else downvote, with clear handwriting. Prove that for any real number x, there exits a…

A:

Q: at any positive odd integer is of the

A: Here we have to show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5,…

Q: Which set consists the possible rational roots of x + 4x - 2x +8 0? A 11, 18 B. 11, 12, 14 C. 11,…

A:

Q: The numerical value of xe dr is

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Prove that 1+6x-x is always a positive real number if x =3+Ai for some real 33 number 4

A: The given number is  1 + 6x - x2

Q: Suppose a and b are positive real numbers and n is a natural number with n 2 2. (a) Use the…

A: Let a and b are positive real numbers and n is a natural number with n≥2. Use the difference of…

Q: Use the relationship you described (or the one given in the solutions to Homework 2) to prove…

A: Let the two numbers be 'a' and 'b' Let the GCD of the numbers 'a' and 'b' be 'G' Then we can write…

Q: 1. Prove that the sum of an integer and its square is even

A:

Q: Let a and b be non-negative real numbers with b+ 0 and p,q > 1 and+= 1, then a show that ab <+

A: Define a function y : [0,∞)→ℝ by yt=1q+tp-t1p, for every t∈ [0,∞). Now differentiating,…

Q: [4 12 25] If A = 1 4 7 1 3 6 Then A-1 || PARTY

A: Given: The matrix A=41225147136 To find: A-1 of matrix A Formula Used: For a matrix…

Q: Find the product. (x – 7) O x2 - 49 O a2 - 14x + 49 O r2 + 49 O r +14x + 49

A:

Q: 1 f X~ N(0,0²), then X² ~G (¹2¹2) Prove this statement

A: Given  X~N(0, σ2)

Q: 1 So |1 – 2æ|x²dæ

A:

Q: (c) Prove that x - 11 |x| + 11 |x² + 36| 36 for all real r.

A:

Q: If a, b, c are non-zero real numbers, then bc ca ab ca ab bc vanishes, when ab bc ca ca 1.1 -+- 0…

A:

Q: -1 - 1 Suppose A Then (A") = 2 1 ||

A: Here, the given matrix is: A=-1-121 To find (AT)-1. Note that (AT)-1=(A-1)T

Q: Find an odd integer o written as an expression using the variable k with the property that when f is…

A: Here we have given a mapping  which proves that both the sets have same cardinality.

Q: -2 1 2 -1 1 -1 2. LetA= Then find A-1 if it exist. 1

A:

Q: Find all the values of z for which 1+z 1 1 1 1 1+z 1 1 1 1 1+z 1 1 1 1 1+z <= 0.

A:

Q: Let 4 1 - 3 -2 -9 and 1 A =| - 3 В C =| 0 3 Prove that 5 - 2 -1 1 1 – 4 | (BA)" – A" B" + AC = AC,…

A: (BA)T - ATBT + AC = AC In LHS, We know that, By the properties of Transpose, (BA)T = ATBT .…

Q: Question 28. If a is an integer and a? | a, then a E {-1,0, 1}.

A:

Q: (-1)"+1 1- 2n Given the set A = The infimum of A is

A: