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

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Q: . If an+2 = 6an+1 - 8an + 3 and ao = 3, a1 = 7, then a6

A: We have to solve given problem:

Q: If a = (4, 0, 4), b = (3, 4,-4), and c = (0, 4, 5), show that a x (b x c) = (a x b) x c. 60i + 96j -…

A: Solution: Step-1                         Given if a = 4, 0, 4 ,b = 3, 4, -4, and c = 0, 4, 5, show…

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

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Q: Evaluate. 5. 1)? X(X dx 1 5. 2. x(x² 1)2 (Type an exact answer.) I3D

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Q: 3 Let x = (9, −9, −4) and y = (-6, 6, -9) be in R³ and a be in R. Then ax + y = ( ,23).

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Q: If α and β are two real numbers, we say that β is equivalent to α if there are integers a, b, c, and…

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Q: Prove the identity |a − 3b|^2 + |3a + b |^2 = 10|a|^2 + 10|b|^2

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Q: If A A-1 = = 2 -6] 1-²-3 then

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Q: Which of the following is the graph of the piecewise function f (x) - 7 f(x) -2-1 2 1 √-x-1 if XS-1…

A: To plot the piecewise continuous functions: f(x)=-x-1 if x≤-1xx2-x-2 if -1&lt;x&lt;2log2(x-1) if x≥2

Q: 1 0 7 -2 -2 2 land B =| 4 12 6 5 9 -2 evaluate -2A+B.

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Q: Evaluate each of the following for x = 5, 7, 9 and 2. ∑x2 ∑x2 – 5  ∑(x2−5) 2∑x2- 5  2(∑x2- 5) 2)

A: Given:   X = 5, 7, 9, and 2.

Q: If then A= 4 1 ܐܐ -5 -1 0 0 0 0 0 0 0 0 1 1 1 2

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Q: If A = -60000 5-6000 -4 -7 20 0 -89 3 -8 0 -2 -2 5 6 -9 then det (A): =

A: We have to find the determinant of the matrix .

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: Find A. A = = (2A)-1 1 1 || 4 [61] -4 11 6

A: Given  2A-1=6411 Inverse of a matrix X=abcd is given by  X-1=1ad-bcd-b-ca

Q: Compute: -57 5 + [ 5 0 -1

A: Given data