Q. No. 2 a) Find matrix A such that given set is Col A. ns + (n + 1)t r +s – nt (п+ 2)r + s r, s, t [(n + 1)r – s – t|| "real - where n is last digit of your arid number. If your arid id is 19-Arid-1121 then n=1 b) Find basis for the set of vectors in R´on the line y = nx. where n is last digit of your arid number. If your arid id is 19-Arid-1121 then n=1. c) Find dimension of subsnace of all vectorrs in R3

Q. No. 2 a) Find matrix A such that given set is Col A. ns + (n + 1)t r +s – nt (п+ 2)r + s r, s, t [(n + 1)r – s – t|| "real - where n is last digit of your arid number. If your arid id is 19-Arid-1121 then n=1 b) Find basis for the set of vectors in R´on the line y = nx. where n is last digit of your arid number. If your arid id is 19-Arid-1121 then n=1. c) Find dimension of subsnace of all vectorrs in R3

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

3 2 Show that the vectors -3 ,u2 = 2 ,u3 = |1 form an orthogonal basis for R3. Make this basis an orthonormal basis, and then use that basis to find the representation of i = -3 in that 1 basis using the formula i = c,u, + c2u2 + c3u3 where c; = (j = 1,2,3).
Consider the vectors 4 5, V2 1 V1 = V2 = -3 2, and v3 = -6 2/3sqrt(3 U₁ = 5/6sqrt(3 u2 = 1/6sqrt(3 16 -7 -23 Convert the set {V₁, V2, V3} into an orthonormal set with respect to the inner product (u, v) = 2u1v₁ + 3u2v2 + u3v3. (Enter sqrt(n) for √n. Apply the Gram-Schmidt process in the order the vectors are given.) -3/sqrt(66 2/sqrt(66 U3 = -6/sqrt(66 8/3sqrt(3 -7/6sqrt(3 -23/6sqrt
Assume matrix CER"X" has full rank, that is, rank(C) Please mark the correct statements. The row vectors in C form a basis of Rn The column vectors in C form a basis of R" O det(C) = n det(C) + 0 O det(C) = 0 The inverse matrix C- exists.
1
Find the decomposition a = a|| + a₁ with respect to b if a = (3, 4, 2), b = (3, 4, 6). = (a||x, a||y, a||z) a¹b = (alx, aly, alz) (Enter the components of vectors using symbolic notation and fractions where needed.) a||x ally a||z ab = = = alx = aly = alz =
1 1 ,U2 3 Let u1 Из then write x as sum of two vectors = 3 on in span {u1} and other one in span {u2, U3,} [1] 1 X = x = 3 -3 (a) (b) 2 Lo 3 -1 x = 1 x = -2 (c) (d) -3 [4. + N O 3 +
linear algebra be (image01)
Find the coordinate matrix of x in R" relative to the basis B. B' = {(8, 11, 0), (7, 0, 10), (1, 4, 6)), x = (-4, 19, -8) [x] = 000 11 It 7
The vectors -6 01 = 02 = 03 =| 4 form a basis for R' if and only if k +
令ll. 1:0€ 团 / IMG_20210210_170723.jpg HWO Use Gramer Rule to Find K,2 -2x + 3y-Z = 1 X + 23-2-4 -2x -j +2 = -3 How@D Find the area of A ABC Where Hhe are AL1,-1,2), B(2,1,-1) and vectors cl-1,1, 2).
0 2 10 2 -12 HEMENGHED 0 0 0 4 Determine a basis for H which consists of a subset of the given vectors. Let H = span }