2. Let n be a natural number and let A, B E Mnxn(C). If AB = 0, does it follow that either A = 0 or B = 0? Justify your answer.

Q: The diagram below shows a Figure on a coordinate plane.

A: Given figure:

Q: The graph of a function f(t) is given below. 240 180 120 60 0,2 8.4 8,6 8,8 (Click on the graph for…

A:

Q: 2. Mr. Ablan borrowed P25, 000 to start a market stall, at 14% simple interest. If he paid P10,000…

A: Given that Mr.Ablan borrows P25,000 at 14%S.I. and pays back P10,000 after every six months. (a)…

Q: Q8/ Evaluate the integral: 4e* dx dy

A: According to guidelines we solve one question.

Q: Suppose that you were trying to use the Putzer method to exponentiate the matrix A which has…

A:

Q: et y" – 2y' + y = 1+ x2 -here y' = ) dy dx

A:

Q: Let x, y, u and v be row vectors in R obeying: x = (2, –1, 3), y = (-3, 2, 2), and suppose that X .…

A:

Q: Question1. Draw the graph of the function f(x) = |x|+\x-1| Question 2. Draw the graphs of the…

A:

Q: Determine the points where the curve f(x) = 2x3 + 3x2 – 36x + 1 has a horizontal tangent. -

A:

Q: whether the following statement makes sense (or is clearty true) or does not make sense (or is…

A:

Q: Two roots of a cubic auxiliary equation with real coefficients are m1=-1/2 and m2=3+i. What is the…

A: Given that two roots of a cubic auxiliary equation with real coefficients are m1 =-1/2 and m2 =3+i.…

Q: Complete the following steps for f(x) = 100 – x² on [0, 10], and n = 5. %3D a). Sketch the graph of…

A:

Q: 4) If a wire in the shape of the helix: x = 2 sin t,y = 2cos t,z = 3t;0 <t < 27, and the density is…

A:

Q: Let g(x) = evcos a+a. Approximate the value of g(0.2) using the second degree Maclaurin polynomial…

A: The given problem is to approximate the value of g(0.2) using second order Maclaurin polynomial of…

Q: For the right triangle belowr = Select one: a. Vx? – y2 b. Vx +y C. x? + y? d. Vx? + y?

A: Given : We are given a right triangle with hypotenuse(r),  base(x) and perpendicular(y). To find :…

Q: 17. To each person on the earth assign the number which corresponds to his age. A. bijective 18. To…

A: NOTE: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: 4. Confirm Stokes' theorem for the vector field F(x.y.z)= (0, yz, xz) for the plane surface z =1-y…

A:

Q: x(x² + 1)² 1. f(x) = ln 2x3 – 1 3 sin-1(x In r

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Problem 6. Give an example of a metric space (X, d) and a (necessarily infinite) family of open sets…

A:

Q: Which of the following is true for matrix A 1 [0 0 0 -1 100 2 010-2 oo10 Minimal polynomial of A is…

A:

Q: Verify that the infinite series diverges. 00 1) 1000 (1.055)" arit es mus asi n=0

A:

Q: se Stokes' theorem to evaluate (by a line integral) the surface integral curtF d5, where F (rz,yz,…

A: ∫∫CurlF→.dS→=∫CF→.dr→ Where S is a surface bounded by a smooth boundary curve C with positive…

Q: Problem 5. Let (X, d) be a metric space, and E C X. Show that E =N{B|ECB and B is closed}. Remark:…

A:

Q: Suppose that for a company manufacturing​ calculators, the​ cost, revenue, and profit equations are…

A: Given:  C=70,000+30x, R=200x−x220,P=R−C, where the production output in 1 week is x calculators. To…

Q: Evaluate: ∬▒ 〖4X d A〗 over the region R bounded by the parabola Y = X ^ 2 and the line X = Y-2. A)9…

A:

Q: In the rolling of two fair dice calculate the following: P(Sum of the two dice is 5)= P(Sum of the…

A:

Q: (10 Use the graph to determine when f(x) = 4 and the value of f(4). 3 2- 11 10 2- 3- -4- 4.

A: The given graph is linear graph.

Q: The grid below shows the point 4(8, 2). Find its image point after a reflection in cach of the…

A: 1. Now we shall determine the point after reflection in x axis. Given point is (8,2) Therefore after…

Q: onent form of u + v given the lengths of u and v and the and = 8, 8, = 9 = 1, 8, = 8

A: Introduction: A vector's component form is given as x,y, where x describes how far right or left a…

Q: maximum point of y X – 2

A: Given equation: y2=x2x-2

Q: Σ n(n + 1) (n + 2)! Use (a.) to show that f(x) dx (-2)"-1. n=1

A: We have to find the power series of f(x).

Q: i) Evaluate the surface integral where F = (x,y,zx) and S has upward orientation. S is the part of…

A: The solution is below.

Q: 1. Q-1: Answer each of the following as True or False justifying your answers: 2. = ()*; } 100 If A…

A:

Q: Find the monthly payment for the loan. Round to nearest cent. Finance $852000 for an apartment…

A:

Q: 4. What principal must be deposited in a 4.5% saving account compounded monthly in order to have a…

A:

Q: If A is a Hermitian matrix then A + jI is invertit Select one: True

A: If A is Hermitian matrix, then A is unitarily diagonalizable.  All the eigen values of matrix A are…

Q: 3. Explain why as n goes to infinity. the entries of the vector A" 2 go to infinity, while the…

A: To solve the question 3 I will take the help of eigenvalue and eigenvector of a matrix because…

Q: Let [M|b] be the augmented matrix of Problem 9. Let v = be a solution vector. Double check your…

A: We have to solve the given system of linear equations.

Q: The following results are from data where the dependent variable is EXPENSE FEES, the independent…

A:

Q: Q-4: a) Determine whether the vector (9,0,9) is a linear combination of the vectors (1,1,0),…

A:

Q: 8a Solve the following system of linear equations by variable substitution. -2x 34z y + 6x + y -15…

A:

Q: Recall that the set F(-0,0) of all real-valued fu

A: Given, the vector F over the field -∞,∞ and the subset                         A=f:ℝ→ℝ|f(-x)=-f(x) ∀…

Q: Use the second Taylor polynomial P2(x)P2(x) for f(x)=x2+ln(1+x)f(x)=x2+ln⁡(1+x) about x0=0x0=0 and…

A: P2x=f0+f'0x-0+f''0x-02f(x)=x2+ln(1+x)f(0)=0f'(x)=2x+11+xf'(0)=1f"(x)=2-1(1+x)2f"(0)=2-1=1∴P2(x)=x+x2…

Q: Sketch y = csc 0, 0 € [-27, 2n]. 3. -21 TC -1 -2 -3 -4 -5

A:

Q: The value of this Riemann sum is 18 17 16 15 14 13 12 11 10 8 7 6 4 3 3 4 Riemann sum for y = 2° on…

A:

Q: Solve the following exercises, you will need to show all your work to receive full credit. Consider…

A:

Q: Theorem; ie f is entire and bounded in the Comple plane , then Kz) Constant throughoud the plane .…

A:

Q: Find a homomorphism from the group (Q, +) to (R, +). Find a one-one map if exist from Q to R that is…

A: Given :  (Q, +)  and (R, +) be the given additive groups. To find :  A homomorphism from (Q, +) to…

Q: 7.H Jse the divergence theorem to evaluate where S is the sphere x+y? +? = 4 oriented with outward…

A:

Q: 10) The following results are from a regression where the dependent variable is COST OF COLLEGE and…

A: Given the results of regression of dependent variable i.e the cost of the college and the…