3. If A is a nonsingular matrix, then A' is nonsingular and its inverse is (A')1 = (A') '. Prove it!

Q: . Homework. Let a and b be integers. If 7 | (17a +256), prove that 7 | (10a+11b).

A:

Q: 3. Consider the surface integral| (V × F) n dS, where F = (0, 0, ryz) and S is that portion of the p...

A: ANSWER :(a) The given surface integral is ∬s∇×F.nds ; Where F=<0,0,xyz> i,e F⇀=xyz k^  Now we ...

Q: Properties of Laplace T. Find the Laplace Transform 1.f(t)=-e-sin4t +3

A:

Q: Determine if the given series converges or diverges. You may only use the following as proof: Direct...

A:

Q: 1 2. Let bn = COS and cn = cos for all n e N such that n > 2. Determine whether the given series con...

A:

Q: Let H be a solid region given by z2 Vz? + y? and x2 + y? + z? < 6 whose density at any point is give...

A:

Q: Determine if the following limits exist: x2 + y? (a) lim (x.y)→(0,0) e# + y² – cos(y) IVly[ sin(y) (...

A:

Q: I Find the second derivativety") of the following functions and simplity the final results. 1. y= x ...

A: The quotient rule of derivative states that d dxf(x)g(x)=g(x)f'(x)-f(x)g'(x)g(x)2. The derivative of...

Q: Let f be a bounded function on [a, b] and let P be a partition of [a, b]. Let M; and m; have their u...

A: We will be solving Q. 37 as mentioned. Since you have posted a question with multiple subparts, we w...

Q: Find the solution of the following system of equations using LU decomposition. Enclose the "L" and "...

A:

Q: Find the eigenvalues and the corresponding eigenvectors. [cos ne - sin ne (a) sin no (n is some cons...

A:

Q: Identify the consequent of the statement "There is a bloodshed in Ukraine and the Russian people are...

A:

Q: C. Optimization 1. Use the first derivative test to determine the relative extrema of the following ...

A:

Q: Problem 7 Show the derivation of formula for the conversion from spherical coordinates to rectangula...

A:

Q: Question 32 Given a universal set containing prime numbers between -20 and 20 and composite numbers ...

A:

Q: 37. Which of the following accurately shows the constraint on the daily capacity for the third produ...

A:

Q: Which of the following is not the equivalent of the statement "All universities are institutions."? ...

A: We can solve this by using given information

Q: Kalege is selling pens. She bought pens at N$0.2 each, and sold them (except for broken ones) at N$1...

A: Given Kalege is selling pens . she brought pen at N$0.2 each and sold them (except for broken ones) ...

Q: uestion What is the negation of the statement "I cannot fix it prov an engineer."? O I am not an eng...

A:

Q: Given the field D = 6sin 0.50 a, + 1.5p cos 0.50 a, C/m². Show the divergence theorem is true for th...

A:

Q: 1Choose one of the theorems about chords of a circle and state it using your own words. 2Create a pr...

A: A chord is a straight line joining any two points on the circumference of a circle.

Q: Let w- fx.y.) - :), x- cos(), y sin(» and :. Then:

A:

Q: For the line through P(2, – 1) and Q( – 1, 5 ), determine each of the following :  a) Vector equati...

A:

Q: What technique should you use to solve the ODE that arises from the Euler's equation associated with...

A:

Q: P(x1, x2) = x1X2, Q(x1,x2) = –2x102; D = {(x1,x2) :1 < x1 < 2,0 < x2 < 3}. %3D

A: Since you have asked multiple question , we will solve the first question for you. If you want any s...

Q: ' Give a recursive definition for each of the following. (You don't need to prove your definitions a...

A:

Q: John started running at a speed of 10 kph. Three minutes later. Peter started running in the same di...

A: Here we use the following formula for distance  distance =speed*time

Q: Create a euler diagram to know if the argument is valid or invalid. p: No number is divisible by zer...

A: Euler diagram is used to represent the existing logical relationships between two or more sets.

Q: 1. Use the Monotone Convergence Theorem to show that the sequence {an} converges, where an = 1- п! f...

A:

Q: Find the Laplace Transform 3.f(t)=(t + 2)²et

A:

Q: How many ways can a teacher select Billy and Samantha to be on a committee of 6 people from a classr...

A: Here we use Basic Permutation and Combination.

Q: I, 6) 6. (a) Let (x», yo) be a point of the plane, and let L be the graph of the function f(x) = mx ...

A: here i am giving you a geometrical proof.

Q: dy - Solve + 3y + 2. y dx = x, given y (0) = 1. %3D dx

A:

Q: What is the median of the box plot below? 468 10 12 14 16 18 20 22

A:

Q: Find the solution to the following initial value problem by finding the general solution to the diff...

A:

Q: Question 1. Suppose that A E Mnn is an orthogonally diagonalizable matrix with n different eigenvalu...

A:

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence con...

A:

Q: Solve using determining the integrating factor: cos x dx + (1 + 2/y) sin x dy = 0. %3D

A:

Q: (xy2+x2)dy+ydx=0

A: As per the company rule, we are supposed to solve one problem. Therefore kindly repost the remaining...

Q: Solve: ds/dt = t In s?t + 8t2.

A: Solution

Q: 1. Derive the 5th degree MacLaurin series expansion of f (x) = 1- 2x

A:

Q: 3. Use the functions defined in this notebook (switch_rows, scale_row, and add_row to find the gener...

A:

Q: Name: Graph the points (3,6) and (-1,4) on the graph below and find the slope between the points.

A: Please find attachment for the details solution 

Q: Use the Venn diagram to solve the given problem. You must show your work on the Venn diagram. Montic...

A:

Q: By Simpson's \frac{1}{3} rule, the value of  \int_{1}^{7} \frac{d x}{x} is?

A: Simpson's 13 Rule: ∫abydx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn), where h=b-an and n i...

Q: Find the pattern of addition/subtraction from one x-value to the next and from one y-value to the ne...

A:

Q: Problem 7. Prove that if A is symmetric and nonsingular, then A- is symmetric.

A:

Q: To get a feel for higher order ODES, show that the given functions are solutions and form a basis on...

A:

Q: Let S be a 2D subspace of R. Find projs if projs =

A: Let S is a 2D subspace of ℝ3 projs&lt;2,-1,1&gt;=&lt;0.5,0.5,1&gt; So consider the 2-D plane given b...

Q: Question 2. Is the matrix P orthogonal, where (V3/2 0 -1/2) | a) P = -1 YES NO o V3/2, 1 :) 2. b) P ...

A: As a matrix P is orthogonal if and only if PPT = I = PTP