11. Assume that the stated inverses exist, prove (I+ A-B-)-A-1 = A-(I+B-1A-1)-1

Q: (m) For ro = -8, 11 = -7, 12 = -6, 13 = -5, I4 = -4, f(z1)Ar,

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Q: * Evaluate. 2t |4 + et| dt

A: Solution :-

Q: and

A: We will find the value of x.

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Q: 6 -2 1 |-4 1 -1 l1 0 1

A: We have to find the inverse of matrix using Gauss jordan method.

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

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Q: 4. Find the inverse Z-transfor b. 32 2E+ (2-1)(2-늘)(Z-t)

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Show that B is the inverse of A. [ 5 1 2 -1 A = В - 9 2 -9 To show that B is the inverse of A, we…

A: Here, the given matrices are: A=5192, B=2-1-95

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Q: In(1+ 5.x?) 2 – 3x Differentiate with respect to x.

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Q: . Verify that y = x - 8 and y = 2x + 16 are inverses %3D

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Q: , x); R = [0, -) D) D = (-, x); R = [-10, -)

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Q: Compute for 4+ 3X {(-2,-1,0} (X)+ X²I{1,2,3}(X)

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Q: 3. Show that (1+i) = 2i

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Q: Perform the indicated operations: (1 -1/x)(1 - 1/(x +1)(1 - 1/(x+2)(1 - 1/(x+3) ?

A: Given expression, 1-1x1-1x+11-1x+21-1x+3

Q: 9. Use the SVD is to find the inverse of 1 -1 -2 1 -2 1 0 %3D -2

A: Given that: A=1-1-21-22-210

Q: - Find in terms of Jo and J:

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Q: 4. If ā= 3i - 2j and b=-5i- j, express 3 a -b in terms of i and j.

A: This is a vector problem

Q: z equals 1 If 1, then וא

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Q: 3. IfU = x' + y'+z'- 3xyz, show that xU + yU + 2U = 30

A: Topic  = Derivative

Q: +o0 - Find Ul-1/i, 1/i]- i=1

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Q: Compute: (i-2) (i+2) Answer: 2.

A: Solution: The objective is to compute the given equation

Q: If Xo and X, are two numbers with Xo < X, then the true one is

A: Answer:-  Option D is the correct answer.

Q: 1. If x=27-3k and y = 7+57-4k, express each of the following in terms of i, j, k a) 5x-2y

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Q: Suppose a = {„",}- L,".]. Find the value of a.

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Q: It is possible to regress x1 on y. a. True b. Falas

A: From the given dataset we have to check that , is it possible to regress X1 on Y1  or not.

Q: Suppose x, n ∈ N and n not equal to  0. Then, show that xn is positive if and only if x is positive

A: Given that x, n∈N and n≠0. According to question, N=0,1,2,3,4,5........ First suppose xn is positive…

Q: Find inverse of a mabrix by guan jordan mtel 3. 20 3. 230.

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Q: 25. If ā = -j and b = 2x +5y, express and y in terms of ā and b.

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Q: 9. -2 1 1 -4 1 -1 1 1

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Q: 3 If A = 1] show that A² - 5A + 7I = 0. %3D %3D -1 2

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Q: A (0, 8) В (4, -12) С (9, -1) D (-8, -8) Е (1,-3) F (3, 5) ULLV 1. Identify the component form of…

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Q: In GL(2, Z,), the inverse of Option 4 (2 10 O Option 2

A: we know that inverse of matrix A= 1/|A|(adj.A). see 2nd step.

Q: How do you solve for the inverse of of each element of ℤ7 with respect to ×7?

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Q: X Compute A*; Btr BA,(BA tr BA, (BA)O [ - 5 -4 I B -a 3 -3 5

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Q: -5 3 is A' = 5 1 3 Verify that the inverse of A 2° -1

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Q: Prove that the expression 2y2 - 128 is equal to 2(x² + 2) (x² – 2) (x8 + 4x+ + 16) Swer:

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Q: Show that B is the inverse of A. -- H 1 -6 3 -9 -15 6 6 -3 1 1 1 -3 A = -6 2 3 0 -6 3 STEP 1: Find…

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Q: [-1,1] x [1,2]

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Q: 2. Show that () (":")-).

A: 2. We have to show that Nk=N-1k+N-1k-1 The formula for combinations is, Nk=N!N-k!k!

Q: -1 3 -6,Compute A-5I,. 9. Let A=-8 7 -4 1 8

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Q: Find a number z (except 0) such that Az³ + Bz²+ Cz = D 2 1 3 0 -2 -4 00 ^-[ ] ³-R2 :]-[+]-[1] B= 1 2…

A: Solution

Q: Prove the following:  if x^2 = y^2, then x = y or x = -y.

A: Subtract y^2 from both sides.

Q: 16 3. Show that for x2 + 2xy - 3y² = 4, y" (x-3y)3

A: We will find y" as following.

Q: dt 7) /2-t

A: 7).∫-∞-2dt/2-t                         = ∫-∞-2(2-t)-1/2dt

Q: Find a number 8 such that if |x – 2| < 8, then |4x – 8| < ɛ, 11) where ɛ %3D 0.01.

A: Ffind the delta