Problem 5. (a) Show that if A = A-¹, then det(A) = ±1. (b) If ATA-¹, what is det(A)?

Q: is that The necessary and sufficient condition that a curve is a plane curv " T *** =

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Q: lumn A Column B 1. a. -5) | b. -4) used twice 1. x + 7x +6 C. x+6) used twice 2. d. (2x-1) 2. x² -…

A: Solve equation and match with column two.

Q: Show for all integers n> 1 that 7 I (3ªn+l – 5²n-1 ).

A: a) Prove 734n+1-52n-1 for all integers n≥1 by mathematical induction as follows. Basis step: For…

Q: The characteristic polynomial of the matrix A= 1 4 -1 is (A-2)(X - 5)². -1 -1 4 a) Find the…

A: As per your request I have solved first subpart.

Q: 3. For the standard deviation oors and the standard error SE, which of the following is the correct…

A: We know that, Standard deviation σ or s and the standard error SE is given.

Q: DVD Players. A survey of 85 families showed that 36 owned at least one DVD player. Find the 99%…

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Q: 1. Find the area of the following shapes: (a) Scm 4cm

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Q: b. What is the probability that exactly 31 intitutions in this study offer distance learning…

A: Probability, p=94/100=0.94 Sample size, n=35 a) X~B35,0.94 Pdf of binomial distribution, P(X=x)=nCx…

Q: In(6z) – 1 Find the area of the region lying between the x-axis and the curve y = to the right of…

A: The area of the region lying between the x-axis and the curve yx=ln6x-1x2 to the right of the line…

Q: The point A(-7, 3) is translated onto 4' by the vector = (5, - 4). The coordinates of A' are o (5,…

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Q: 3. Each of J, K, L, M and N is a linear transformation from R to R. These functions are given as…

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Q: 2. Two angle measurements to either end of a lake is made from a stationary hot-air balloon that is…

A: Consider the following figure:

Q: Q2. Find the Fourier sine and cosine series of the function f(x) = x², 0 < x < 1. Sketch f(x) and…

A: Sketch odd extension of f:

Q: Use the given categorical data to construct the relative frequency distribution. Natural births…

A: Given  information is :-Natural births randomly selected from four hospitals in New York State…

Q: Let kids denote the number of children ever born to a woman and let educ denote years of education…

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Q: log0.25

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Q: raw data table 1.8 3.3 3.3 6.3 6.9 7.4 |10.5 11.8 20.3 Calculate the mean to two decimal places (not…

A: Mean: The mean can be calculated using EXCEL function as follows: Thus, the mean is 7.956.

Q: *18. If f: AB is 1-1 and im f (fof ¹) (b) = b for each b E B. = B, prove that (ff)(a) =a for all a…

A: Given that is one to one and  that is  is onto also.Hence  is injective and surjective .Then  is…