(1 point) Suppose that A, B, and Care 5 x 5,5 X 6, and 6 x 9 matrices, respectively. Determine which of the following products are defined. (a) BC Answer: undefined (b) CB Answer: undefined (c) AB Answer: 5x5 (d) 42 Answer: 5x5 Note: 1) For those defined, enter the size of the resulting matrix (e.g. 3 x 4 with spaces between the numbers and x). ii)For those undefined, enter undefined.
Problem 4 (12 points, 2 for each part) In each of the following parts, as- sume that the matrices A, B, C have sizes that make the sums, differences, and products in that part well-defined. Say whether the statement is always true (i.e., true for all matrices of appropriate sizes), sometimes but not al- ways true, or always false. (You may abbreviate answers as T, S, and F, respectively, but make sure your handwriting is unambiguous.) (a) AB = BA...
Given the points AC - 5,2, – 3), B( - 1, - 9,2), and CC - 4, 3, 4), find (a) the angle between AB and AC, (b) the angle between BA and BC, and (c) the angle between CA and CB. (a) ZBAC = (b) ZABC = (c) ZACB =
You are given the four points in the plane a=(-2,2), b=(1,-3), c=(3,6), and d=(7,-3). The graph of the function consists of the three line segments AB, BC and CD. Find the integral by interpreting the integral in terms of sums and/or differences of areas of elementary figures
Consider the statement: If A and B are 3 x 3 matrices and B [Abı + Ab2 + Ab3] . Choose the correct answer below. - [ bi b2b3 ), then AB = A. The statement is true. By the definition of matrix multiplication, if A is an mxn matrix and B is an nxp matrix, then AB = A ( b1 b2 b2 ... bp ] [Abı + Ab2 + ... + Abp] B. The statement is true. By...
(3) Let A = 2 5 3 8 and B = –7 4 -95 Compute the matrix products AB and BA.
36 5° D 75° A Caterpillar Ultra High Demolition machine is shown. The distances between points A and B is 12 m, points B and C is 2.8 m, C and D is 8 m, and D and E is 2.5 m. Determine the position vectors r AB r BC r CD , and r DE where r AB is the position vector from point A to point B, and so on. Add these vectors to determine the position vector...
28 Consider (O:OAOB) an orthonormal system in space. Let G be the center of gravity of triangle ABC. 1° Calculate the coordinates of G 2°Consider the points A' (2 ;0:0) ,B, (0:2:0) and C" (0:0,3). a) Verify that these three points define a plane. b) Write a system of parametric equations of the plane (A'BC'). 3 Write a system of parametric equations of line (AC). 4° Verify that K (4:0-3) is the trace of the line (AC) with the plane...
my choices for these are wrong. 10 points QUESTION 3 Given R=(A, B, C) is a schema and F = {2C-A AB) is a set of FDs that hold on R. Which of the following statements is not true? d=(AB. AC) is a decomposition of that is in BCNF. O Ris in 3NF O BC is a candidate key for R Ris in BCN 10 points QUESTION 4 Given R= (A. 3. CD. E) is a schema and F= (A...
(1 point) Do the following for the points (-3,1), (-2,2),(-1,1), (1,-2), (3,-2): (If you are entering decimal approximations, enter at least five decimal places (a) Find the equation for the best-fitting parabolay.2 +ba c for these points: y0.0139x*2-0.6887x-0.209 (b) Find the equation for the best-fitting parabola with no constant term y2b for these points: (c) Find the equation for the best-fitting parabola with no linear term yc for these points: 0.414xA2-0.6805x Ch5.2b Least Squares and Curve Fitting: Problem 5 Previous...