The rate of change of the male population of a particular barangay is proportional to the male population at any time. If the present male population of the barangay is 30,000 and then years ago, there were 20,000 males in the barangay, when will the population double its present count? How many males were there 4 years ago?

Q: [10 21 [0 101 Let A =-110 and B =-101. Solve the system AX = B by row reduction for X. Do not try to…

A: Given Matrices are                                       A=102-110318,      B=010-101-141 and the…

Q: Let V be a vector space with a basis B = {b₁, What is the B-matrix for the identity transformation…

A:

Q: 10 -7 Let u = and v = Compute u • v, v · v, ||u|| and find the dis- 13 16 tance between u and v.

A: Given  u=10-7135 and v=-44316

Q: (a) Triangle Inequality Let a and b be real numbers. Then (b) Reverse Triangle Inequality Let a and…

A: Triangle inequality, in Euclidean geometry, theorem that the sum of any two sides of a triangle is…

Q: Compute the matrix product in this exercise using paper and pencil. [5 6 7] =

A:

Q: Let A = a b c d and let k be a scalar. Find a formula that relates det(kA) to k and det(A). Find…

A:

Q: For any set S c R, let 5 denote the intersection of all the closed sets containing S. (a) Prove that…

A: Consider the given information.

Q: Chapter 9 Hypothesis Tests emolqqu2 .8 ounces is filling mechanism. From past data, a population…

A: The question is about hypo. testing Given : Popl. mean filling weight  ( μ ) = 16 ounces  Popl. std.…

Q: Give an example of a 2 x 2 matrix A such that im(A) =ker(A). %3D

A: Null space of a linear transformation: T:V(F)→V'(F) be a linear transformation then the null space…

Q: Linear algebra

A:

Q: 25. For any set S CR, let S denote the union of all the open sets contained in S. (a) Prove that S…

A: The given question is solved below.

Q: The Dominguez Hills Company has the following forecasts generated by two forecasting methods. Actual…

A: The data for the forecasts generated by two forecasting methods is given.

Q: 16. A figure in quadrant II was transformed, and the image is in quadrant III. Which could not have…

A: We are going to take and example and will use all transformation mentioned in the option.

Q: Find the two conditions on b1, b2, and bz which determine solvability of 4 8. 3 4 =6= b2 -6 -7 -8 b3

A: The objective is to form the equation involving b1, b2, and b3 that determine the solvability of the…

Q: Find the kernel and nullity of the transformation T. Т(М) — М 0 1 1 2 1 2 M from R?x 2 to R2x2 T(M)…

A: The given question is solved below.

Q: For each problem find square matrices which satisfy the given conditions. You don't have to justify…

A: Since you have posted a question with multiple sub-parts, I will solve the first three subparts for…

Q: 3. Find a counterexample for the following: a] bd(sUT)- (bds)U (hdT)

A:

Q: Solve the problems below. Be sure to show your thinking. 6. Ben transformed a figure from quadrant…

A: Since to transform a figure from quadrat IV to quadrant I without changing its orientation can done…

Q: 9. If JKL is rotated 180° clockwise, which describes the location of J'? 6 51 4. 3- -6 54 K 2 3 4 5…

A: key points : When we rotate a figure of 180 degrees about the origin either in the clockwise or…

Q: Linear algebra

A: Consider the set

Q: 5. Which is a NOT a true statement about the figures shown below? 7-6 5 .4 3 3 4 5 6 7 G! 2-H G -4…

A:

Q: Let L be the line spanned by 2 Answer: 0 8 in R³. Find a basis of the orthogonal complement L¹ of L.…

A:

Q: 14. A triangle in quadrant II is going to be reflected over the y-axis. Which of the following is a…

A: To find the correct option

Q: Define the linear transformations T:R R2 and S: R R so that 3. X1 + X2 -X2 and S X2 -I - 12 a.) Is…

A:

Q: A fair die is rolled five times. A 5 is considered "success," while all other outcomes are…

A: roll a fair die five timessuccess : Roll a 5P(getting 1 success) = ?

Q: 15. Triangle PQR has the following coordinates. Where is Q' after a translation 9 units right and 11…

A: Given- Triangle PQR has the following coordinates, P-9,-12  , Q-6,-13,  R-7,-4. To Find- The…

Q: Find a matrix with no zero entries that commutes with the given matrix A. 4 17 1 4

A: The detailed solution is as follows below:

Q: 18. A figure is going to be dilated by a scale factor of 3.5. Which of the following describes the…

A: Since the figure is dilated by a scale factor of 3.5. The area will change by a factor of…

Q: linear algebra

A: 6. The given matrix is

Q: 19. A figure on a coordinate plane was transformed using the rule (x, y) → (-x, y). Which best…

A: When we transform a point (x, y) into the point (-x, y), so the distance from the y-axis remains the…

Q: Suppose we have a dataset with stock prices (Y) on different time points (X). After performing a…

A: Assumptions in Regression analysis: The mean of the residuals is zero. No autocorrelation of…

Q: Use Cramer's Rule to solve for x2. xi + 2x2 +x3 = 2 3x1 – x2 - 2x3 = 7 X2 +x3 = -1

A: Here we have given one matrix and we have to find the value of x2 by using the Cremer’s rule.   Now…

Q: d. What would be your answers to parts (a) through (c) if the standard deviation of the shaft…

A: Let X denote the diameters of shafts. Given that X follows N(mean = 21.002, SD = 0.005), then Z = (X…

Q: (3) (a) Let T be a surjective linear transformation from P7 W. Show that dim(W) dim(W). Lastly, the…

A: Given below the detailed solution

Q: Linear algebra

A: