Find |Al, |BI, AB, and |AB| Then verify that |A||B| |AB 0 1 4 1 1 0-1 1 1 -1 0 1 4 B = 1 C 4 A = 4 2 1 1 1-1 0 1 4 20 2...
Find A, B1, A + B, and A + Bl. Then verify that Al + B + A + Bl. -1 1 9 1 0 1 A = 0 1 1 -1 19 1 1 - 1 0 1 9 (a) JAL (b) (c) A + B (d) 1A + B1
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Find AI, IBI, AB, and ABI. Then verify that A||B| = |ABI. [012] [ 2 1 2] 5 4 3. B 1 -1 0 | 7 6 8 09-2 (a) ALL (b) 18 (d) AB
1 2 0 4 23 4 -2 1 3 (a) 2A +B (c) AB (b) A - 4B (d) BA
Find A, B1, A + B, and A + Bl. Then verify that A + B + A + B). -5 1 5 -1 A = B = 3 0 -3 0 o] (a) JAI (b) B (c) A + B (d) JA + BI
that AB- 100 1 2 20 2 2 0 and trices shown to the right e A be the oorresponding n ×n matrix and let B be i s in ers e Guess the to m or B, and then st Use the algorithm for finding A to find the invers s of the 3 330 3 330 4444] 11 1[10 If A is the corresponding n× n matrix and B is its inverse, which of the following is B?...
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...
AB 31) Find the eigenvalues and eigenspaces of the matrix-4 0 4 Hint: One way to simplify 6 -2-3 a term of the form a +bi, where a and b are real numbers, is to multiply it by a -bi
0 1 2 and B =( 3 For matrix A find AB? 7 1 4 1 4 5 2 7 18 42 6 24 A. 24 17 17 В. 7 17 30 42 30 13 18 31 17 42 6 24 2 2 С. 17 7 30 D. 7 17 6 18 17 31 17 13 18 Select one: OA OD
6 (1) Use power-series to find the general solution near x 0 of: dax +b(ab)) -( (ii) Use initial conditions: u(0) = c and (u))(0) = d ) My problem: (aa-(IX) +n))st (9))(v)-0 () My initial conditions( 5 and)0)7 to determine the unknown constants.
6 (1) Use power-series to find the general solution near x 0 of: dax +b(ab)) -( (ii) Use initial conditions: u(0) = c and (u))(0) = d ) My problem: (aa-(IX) +n))st (9))(v)-0 () My initial...
Problem 4 Let lim an = A, lim bn = B. Show that limah = AB Proceed by following these steps. (a) Verify that | ab. - AB| = |a,(6,- B)+a,B - AB S 14,1-16,- B+B |a, -Al<e bounded small constant small Why is it possible to assume that "bounded times small + constant times small" is less than epsilon? (b) Let M be such that Jan <M Wn. Let Ni be such that 12x - Al <10+1 Yn >...