Let A = AB= 1 -1 2 0 5 1 -2 0 −1 14 -57 3 [-2 27 -32 0 -5 2 -1 1 0 -7 1 X -2 and B = 5 2 Find x such that

Q: ܒ ܚ ܚܘ - Find | 3 2 3 0 0 3 -2 -2 -1 1 1 ܐ ܘ WINNL 11012 -1 3 -3 0 -1 -3 1 Show all work

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Q: Find AB such that [3 1 21 T-1 A = 2 1 2 and B =|4 [1 2 2] -2 -5]

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Q: Let A 1 value of k. [23] A and B = 1 -7 217 k If AB = BA, find the

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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: (4) Prove in two different ways that if a is a positive r number, then (a + 1)" > a" + na"-1:

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Q: 1. Find the Laplace transform of the function f(t) = eat[a cos(Bt) + b sin(3t)].

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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…

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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 1 1 1 x2 y? z2 (y² – a²)(z² – a²)(z²? – y²) - - ,4

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

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Q: (c) Prove that r| +11 36 T-1 2 +36 for all real I.

A: We have to prove that the following inequality holds: x-11x2+36≤x+1136 for all real x. We will use…

Q: 3 S ₁² √ (²√₁² - ²√+²) ³ dt

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Q: Let T: ²->² be a linear transformation that maps u = Use the fact that T is linear to find the image…

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Q: Simplity. Assume all exponents are positive integers. 35n 45x² 2. 35n² 25x 1. 4. p²-3p-54 p-9 5.…

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Q: 2 4. Express 989 = 23 43 in the form x² + xy + 5y².

A: The given number is 989. The objective is to express the given number in the form of x2+xy+5y2.

Q: Let = [1, -1, 1], [-2, -1, 3] and = [-1, 2, 2]. Find (u ×7)•w: O-14 07 O 10 Does not exist

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Q: 2. Find the Laplace transform of the function g(t) = (1+t+t + t³ + + tm-1 +tm)et.

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Q: Let ū = (3, – 4, – 10) and i = (– 7, – 2, 0). – 2,0). - - 2u + 20

A: Given:-u→=&lt;3, -4, -10&gt; andv→=&lt;-7, -2,  0&gt;

Q: 1 0 A= 0 0 0 -1 3 2 1 7 3 1 1 -1 0 -600 3OTSO 0 1 0 2 1 B= 3/2 6 1 -1/2 3 5 -2 2 1 -6 4 1 1 0 3/8 3…

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Q: Find x and y 24 -2 22 [2x-2y 2 -2 20 21 o -10: [4 : 25 24y 25 2x+y -4

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

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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…

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Q: Compute A-413 and (413)A, where A = A-413 = 6 - 4 - 3 - 2 4 3 - 6 1 3

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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: Let x = 2 and y=3. Compute 7 ||x - y||₁ = ||x - y||∞o = ||x - y||₂=

A: Given :- x=-527,y=231

Q: H.W Compute the following products: 7 a. 1/3] -2 31 7 -6 21 ь. [3 -1 4] х| 5 1 -4

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Q: -1 Let A = 01. Compute A100 -2 1 1 3.

A: To compute the A100 first we need to diagonalize it to make the computation very easy.

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

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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: If xER then |1– x| = |x+1|- True O False

A: We have check given statement is true or not