a) Suppose that A and B are 4 x 4 matrices, det(A) = 2 and det((3ATB)-¹) = . Calculate det(B). b) Let A, B, and C be nxn matrices and suppose that ABC is invertible. Which of A, B, and C are necessarily invertible? Justify your answer.

Q: Question 2 An object was thrown vertically with an initial velocity of 9.9 m/s from a height of 3.0…

A: Solution : Given, Position function: x=x0+v0t+12gt2 x0=3 m v0=9.9 m/s g=-9.80665 m/s2 Putting all in…

Q: 5. Proving (Learning Packet #1) Given: LVLOE Prove: LOVE R is the midpoint of LV and OE. L R E V

A: It is given that  LV  is perpendicular to OE and R is the midpoint of LV and OV To prove LO≅VE Take…

Q: A carton of mass 10 kg is at rest on a rough plane inclined at an angle of 25° to the horizontal.…

A:

Q: (b) Let H= ((3,3, 6)), the cyclic subgroup of G generated by (3,3,6). Determine |G/H.

A:

Q: 23) How could you Solve for x? a. Sin 40° = = b. cot 50%= 55 151 d.csc 40°= C. Cos 40° = X

A:

Q: I. Solve for z. All final answers must be in Zn where n is the modulus. (a) x = 3(15) +45 mod 18 (b)…

A: The given problem is to solve the given following modular equations and express in the general form.

Q: Given the graphs shown below, determine which graph is Hamiltonian and for such graph, find a…

A: We need to determine whether the given graph is Hamiltonian or not. We know that , A connected graph…

Q: Check for convergence / divergence. Find the limit if convergence. 3n²-5n+1 2n +7 0 {a}= (a.} =…

A:

Q: one rea eration

A: To find  lnx4=0.70

Q: 7.L Given the points (-1, 2) and (-3, 12). a) Find the slope of the line containing the points…

A: If two points A(x1, y1) and B(x2, y2)  are given,Then the slope of the line passing through A and B…

Q: e of Php 100,000

A: Given as, Corporate bond= 8%, Face value= 100,000, Maturity= 5 years and 7%.

Q: Given the matrix R = (3¹), i. show that R is non-singular. find R¹, the inverse of R. ii. iii. show…

A:

Q: 1)Determine whether the Fourier series of the following functions converge uniformly or not.  f(x)…

A:

Q: Q/ Provethet f is continuous if f(B) = f'(B) Suppose of continuous and Prove F(B) ≤ f(B) then for…

A:

Q: Solve the following simultaneous DE using Laplace transforms. 1. dx 2 + dy dt Бет = dt dy · 3 d = 5…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Q2: find the Laplace of the following functions: (cosw, for 0<t <= W a- f(x) = 70 0 ,for, <t<21 W

A: Solution : Laplace of a function f(x) is, ℒ(f(x))=∫-∞∞f(t)e-st dt Given,…

Q: Pip is building model car racing tracks using a large supply of the two types of square plate shown.…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Find the ff values: D, Dx, Dy, x & y. Given: 2x + 2y = 3 -x + 4y = 7 What is the Determinant? * Your…

A:

Q: true or false  1..The GCD of -50, -100 and -125 is -25 2.If (a, b) = d and d│m, then (ax is…

A: Solution

Q: 16. A population grows according to the exponential growth model. The initial population is Po = 6…

A:

Q: 12.1 Let V and W be vector spaces and : VW be a linear transformation. For v € V, prove that T(-v) =…

A: Before solving I just refresh you the definition of linear transformation. Let V and W be vector…

Q: Determine the causal signal x(n) if its z-transform is given by 1+2₂-2 1+z=2

A:

Q: Find a differential equation that corresponds to the given direction field. Consider differential…

A:

Q: Q1. Solve the below two questions (i and ii). i. Mohamed had AED 14,000 in credit card debt when he…

A: Solution : (I) Let the balance after n months will be, =xn Now for month after will a increase by 2%…

Q: III. SET-UP a triple integral that will solve for the volume inside the sphere x² + y² +2²= 2z and…

A: The solid  is bounded by sphere x2 +y2 +z2 =2z   ______(I) and paraboloid x2+y2 =z _______(II) We…

Q: Solve the following system by Gauss-Jordan elimination. 2x1+3x2+ 11x3 = 21 4x17x2+28x3 = 48 NOTE:…

A:

Q: Let A = · (²²). 2 9.1 Find the eigenvalues of A.

A: 9.1

Q: B) The line passes through the point (2,4,5) and perpendicular to the plane 2x+y- intersects the x-y…

A: Given that the line passes through the point (2, 4, 5) and perpendicular to the plane 2x+y-5z =21

Q: (b) By considering the Gerschgorin circles, show that the eigenvalues of the matrix 2 -1 0 A = -1…

A: Problem is solved using concept of eigen value and eigen vector.

Q: Consider a population that grows linearly following the recursive formula PN = PN-1 + 108, with…

A:

Q: 6.) I. Simplify. Write "undefined" for expressions that are undefined. -6 RAB 6 -4 1 4 -4

A: We need to Simplify the expression -4·([-3-614]·[-26-1-4])

Q: 20) See the diagram' to the right. Find the missing side. а. 553 в. лот с. 355 d.8 ? W aft 6

A: The given problem is find the missing side length for the given triangle figure by using Pythagoras…

Q: 11. An ideal elastic string of length L is fixed at its right end, but its left end is attached to a…

A: The given problem is to find the solution for the given wave equation partial differential equation…

Q: 5. For which value of x do the following vectors form a linearly dependent set in ¹ X₂ G

A:

Q: Use the chain rule to find where First the pieces: End result (in terms of just t): d = 江 西 血麵| 2 =…

A:

Q: Taylor and Natasha are both saving money. • Taylor starts her savings with $10 and plans to save $20…

A: Linear equation: An equation which has the form y=ax+b, where a and b are integers and x is a…

Q: ation. All solutions x - 4y X

A:

Q: First the pieces: End result (in terms of just t): = 江 西 | Use the chain rule to find, where di N =…

A:

Q: B) Solve the following equations: y=l+x+e="x

A: We have to find the general solution of the differential equation d3ydx3+27y=1+x+e-7x .

Q: 4x - 10 Let f(x) = 1-(2x-5)** a. Find the Taylor series representation for f about x = 2.5 that is…

A:

Q: 10. Prove that w|+|2|="2² VWZ+ W+z +√WZ

A:

Q: State, giving reasons, which of the following subsets of R² are compact: (i) {(,):22 + 2 =1}. (ii)…

A:

Q: 711 was encoded with matrix A. Decode

A: Given: The encoded message "22 27 13 15 32 41 26 26 36 51 44 57 45 57 1 1" and the matrix A=1213.…

Q: A certain drug is being administered intravenously to a hospital patient. mg Fluid containing 6 of…

A:

Q: Exercise 25.7.1. Give the Taylor series of the function 1 f(x):= 3x² around the point c = 1 and give…

A:

Q: Find the solution of the given initial value problem in explicit form. 70 sin(2x) dx + cos(7y) dy =…

A:

Q: Let br = sin-¹) and C₂₁ = sin Σ(1+bn) n=2 +00 Σ(bn – cn) m=? ou+ for all n N such that n ≥ 2

A: both of the series is divergent. see my solution below

Q: 9. [Vndo over the entire surface of the volume in the first octant bounded by 2² + y² +2²= 16 and…

A: see my solution

Q: USING ALTERNATING SERIES TEST PROVE THAT THIS CONVERGES. Σ(-1)*(1+i) n=1

A:

Q: For all x € R, sin.x = Σ (−1)"x2n+1 (2n +1)!* n=0 ■Find a power series that is equal to x³ sin(x²)…

A: